I=PRT
Courtney borrowed $7,500 for 4 years at an annual interest rate of 8%.
Part A: How much interest will she pay on the loan?
Part B: What is the total balance after the 4 years?
Answers
Part A: $2,400
Part B: $9,900
First, you need to find how much interest she is paying annually by taking the 8% and finding out what is 8% of $7,500. To do this, we can set two fractions up side by side, x/7,500 and 8/100. The denominators mean 100% of 7,500 is 7,500. The numerators mean that x is 8% of 7,500.
So to find x, we can cross multiply 7,500 and 8, giving us 60,000. Then we can divide 60,000 by 100, to give us 600. So x=600. 600 is how much interest costs for 1 year.
Now, to find how much interest is for 4 years, all we have to do is multiply 600 by 4. This gives us 2400. So, 4 years of interest costs her $2,400.
Her total balance after the 4 years is just the 4 year interest plus the amount borrowed. So 2,400 + 7,500. Giving us $9,900.
Related Questions
Solve each word problem using what you have learned about converting units of mass. Show all of your
calculations.
1. 0.5 g of salt is equal to how many milligrams?
2. A watermelon has a mass of 6.45 kilograms. What is the mass of the watermelon in grams?
3. A box of oranges has a mass of 4 kg. If one orange is 80 g, how many oranges are in the box?
4. Peter has a mass of 105 kg. He wants to lose 500 g per week. How many weeks will it take for him to
have a mass of 90 kg?
5. A box contains 4 bags of sugar. The total mass of all 4 bags is 6 kg. What is the mass of each bag in
grams?
THIS IS PART OF MY QIZ HELP PLEASE PLEASE I BEG YOU PLEASE
Answers
Answer:
it's number 2 because I just know
For an equation of the form ax^2 + bx+ c = 0, where the graph crosses the y-axis once and does not intersect the x-axis. Describe the solution(s) of the equation.
(picture)
Answers
Answer:a
Step-by-step explanation:
The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:
c = 0² + 0 + c = c
Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.
If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.
So, the solution(s) of the equation ax² + bx + c = 0 are:
x = (-b ± √(b² - 4ac)) / 2a
Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:
x = (-b ± i√(4ac - b²)) / 2a
where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.
Hence , the quadratic equation is solved
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8. Which of the following statements is
true? Select all that apply.
61,640 + 1,111 = 62,751
62,561 – 17,638 = 80,199
15,020 + 8,604 = 23,660
12,314 - 9,103 = 3,211
22,222 - 11,111 = 11,111
Answers
can someone help me with this topic pls its hard to figure out.
Answers
Answer: 65.94 m^3
Step-by-step explanation:
The volume of a cone is \(\pi * r^2*h/3\)
\(\pi = (3.14) || r^2 = (3^2)||h/3 = (7/3)\)
Step 1. Simplify the expression. \(3.14 * 9*7/3\)
Step 2. Multiply 9 * 3.14. \(28.26 * 7/3\)
Step 3. Finish simplifying. \(28.26 * 7/3 = 65.94\)
Answer:: 65.94 m^3
Step-by-step explanation:
FIRST CORRECT ANSWER GETS THANKED, 5 STARS, AND BRAINLIEST!!!
Solve the System using Substitution
y=2xy = 2 x
3x+y=20
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ME
Evaluate: (15 − 5 ⋅ 2) − (16 ÷ 4) + 3
Answers
Answer:4
Step-by-step explanation:
15-(5)(2)-16/4+3
=15-10-16/4+3
=5-16/4+3
=5-4+3
=1+3
=4
Answer:4
Step-by-step explanation:
15-(5)(2)-16/4+3
=15-10-16/4+3
=5-16/4+3
=5-4+3
=1+3
=4
?????HELPPPP PLEASE
Answers
Answer: choices 1 and 4
Step-by-step explanation:
A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.
Which of the following is NOT funded by sales tax collected by the government? 7 points
A. hospitals
B. grocery stores
C. highways
D. libraries
Answers
Answer:
I believe the answer is D or B
Step-by-step explanation:
Please helpp!! Ty ty!♡♡
Answers
Answer:
25
Step-by-step explanation:
4a +12 -2c + c
4( ) + 12 - 2( ) + ( )
4(4) + 12 - 2(3) + 3
16 + 12 - 6 + 3
28 - 6 + 3
22 + 3
25
Helping in the name of Jesus.
Therefore, 4a + 12 - 2c + c = 25
Step-by-step explanation:a = 4
c = 3
Swap letters for numbers:4a + 12 - 2c + c
(4)(4) + 12 - (2)(3) + 3
16 + 12 - (2)(3) + 3
28 - (2)(3) + 3
28 - 6 + 3
22 + 3 = 25
Draw a conclusion:
Hence your answer is:4a + 12 - 2c + c = 25
I hope this helps!
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
04.03 MC) The price of blackberries at a farm is $1.56 per pound. Which equation can be used to determine c, the total price of n pounds of blackberries? (5 points) Select one:
A. c = 1.56n
B. c= 1.56 over n
C. c = 1.56 + n
D. c = 1.56 − n
Answers
Answer:
A. c = 1.56n
Step-by-step explanation:
In this situation n equals the independent variable. The independent variable means that no matter what the rest of the equation is this will be equal to a certain number.
Now, the correct answer will be A. This is because you will want to multiply 1.56 per pound. When you have a situation like this you know that the amount of money will be added to itself over and over depending on the independent variable. In other words, it will be multiplied by the independent variable.
Lets use this formula:
\(x * y = z\)
x = Price of blackberries
y = Number of pounds
z = Total price of blackberries per y pounds.
Now change that to have our variables:
\(1.56* n = c\)
or in other words:
\(c = 1.56n\)
In the table below I will provide an example of what c will look like depending on n.
\(\begin{array}{|c|c|} \cline{1-2} \textbf{n} & \textbf{c} \\ \cline{1-2} 0 & 0 \\ \cline{1-2} 1 & 1.56 \\ \cline{1-2} 2 & 2.13 \\ \cline{1-2} 3 & 4.68 \\ \cline{1-2} 4 & 6.24 \\ \cline{1-2} 5 & 7.80 \\ \cline{1-2} \end{array}\)
As you can see, n will be multiplied by 1.56 to find c. Thus proving our answer is A. \(c = 1.56n\)
~Hope this helped!
Answer:
The equation that represents the relationship between the total price and the pounds of blackberries purchased is c = 1.56n.
Step-by-step explanation:
We are given that the price of the blackberries is $1.56 per pound. Therefore, for each pound, the price increases by $1.56.
This is going to be a linear relationship, so our equation is going to be in the form of \(y = mx + b\) (this is the parent function for a linear function).
For example, say an individual purchases 3 pounds of blackberries.
Therefore, the initial purchase is going to start at $0 (nothing has been paid for if no blackberries are purchased).
Then, we will have to add the price to itself three times to get our total payment: \(1.56+1.56+1.56 = \$4.68\)
After we do this, we can realize that when we add the same value a certain number of times, we can just multiply that value by the amount of times we've added it.
If we purchase the 3 pounds of blackberries, we would multiply $1.56 by 3 to get the total price of the blackberries. So, if we label our pounds of blackberries with a variable, we can see this relationship.
Now, our three pounds of blackberries can be labeled as n. So, we are multiplying $1.56 by n.
\(\$1.56 \times n\)
This would give us our total cost, c.
Therefore, our multiplication of $1.56 and n is equal to c, so we can set those equal to each other.
\(c=\$1.56\times n\)
Finally, in math, there is a statement that says that when you multiply a constant by a variable, you can drop the multiplication symbol and simply combine the two (for example, \(3 \times n\) becomes \(3n\)). With this, our equation now becomes:
\(c= \$1.56n\)
Therefore, our answer is Choice A.
$375+$137= blank what is the answer
Answers
Answer:
Step-by-step explanation:
375+137=512
10 ÷ (5 · g) = 0.8
I need all steps
Answers
Answer:
g = 5/2
Step-by-step explanation:
Step 1: Simplify on the left-hand side of the equation:
10 / (5 * g) = 0.8
10 / 5g = 0.8
Step 2: Multiply both sides by 5g:
(10 / 5g = 0.8) * 5g
10 = 4g
Step 3: Divide both sides by 4. Then, simplify the fraction on the left-hand side of the equation to solve for g:
(10 = 4g) / 4
10/4 = g
5/2 = g
Thus, g = 5/2 (you could also use g = 2.5 since 5/2 and 2.5 are the same number).
Optional Step 4: Check the validity of the answer:
We can check that we've found the correct answer by plugging in 5/2 for g and seeing if we get 0.8 on both sides of the equation:
10 / (5 * 5/2) = 0.8
10 / (25/2) = 0.8
10 * 2/25 = 0.8
20/25 = 0.8
4/5 = 0.8
0.8 = 0.8
Thus, g = 5/2 is correct.
The value of g that satisfies the equation 10 ÷ (5 · g) = 0.8 is g = 2.5.
To solve the equation 10 ÷ (5 · g) = 0.8, we can use algebraic methods to find the value of g.
First, let's simplify the expression on the left side of the equation. Since we have multiplication and division, we perform those operations in the order of operations (PEMDAS).
We start with the multiplication inside the parentheses: 5 · g = 5g.
Now, we can rewrite the equation as 10 ÷ (5g) = 0.8.
To isolate g, we need to get rid of the division. We can do this by multiplying both sides of the equation by (5g):
(5g) * (10 ÷ (5g)) = (5g) * 0.8.
On the left side, the (5g) terms cancel out, leaving us with 10:
10 = 0.8 * (5g).
Next, we can simplify the right side by multiplying 0.8 and 5g:
10 = 4g.
To isolate g, we divide both sides of the equation by 4:
10 ÷ 4 = (4g) ÷ 4.
The left side simplifies to 2.5, and on the right side, the 4 cancels out, leaving us with:
2.5 = g.
Therefore, the value of g that satisfies the equation 10 ÷ (5 · g) = 0.8 is g = 2.5.
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What is the correct expanded form and value of (One-fifth) Superscript 4?
One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction
One-fifth times 4 = StartFraction 4 Over 5 EndFraction
Answers
Answer:
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
Step-by-step explanation:
1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625
The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."
The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.
In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."
Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.
Mathematical representation: \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)
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Can someone help?- I will mark brainliest !!
Answers
Help plssssssss
Answers:
9/6 = 11.25/LM
9/6 = LM/7.5
6/9 = LM/4.5
6/9 = 4.5/LM
(It's also multichoice so choose 2 answers.)
Answers
Explenation: you need the number to know what to multiply 4.5 by
PLEASE HELP
(file below)
Answers
Answer:
P( cinder cones ) = 13/37
P ( shield ) = 18/37
P ( stratovolcanoes) = 6/37
Step-by-step explanation:
We need to find the total number of volcanoes
13 +18 + 6 = 37
P( cinder cones ) = number of cinder cones/ total = 13/37
P ( shield ) = number of shield /total = 18/37
P ( stratovolcanoes) = number of Strato /total = 6/37
Select all statements that are true.
Responses
A: Car A has a lower median.
B: Car B has a greater range.
C: Car B has a lower median.
D: Car A has a greater range.
Answers
Answer:
The Correct answer is B
Step-by-step explanation:
Car A median= 180
Car B median= 185
185>180
Answer:
A
Step-by-step explanation:
A: 180<185
Marsha reads for 3 hours each day. There are 24 hours a day. What decimal represents the part of each day that Tyler spends reading?
Answers
Answer:0.125
Step-by-step explanation:
I need help :))))))m
Answers
Answer:
10
Step-by-step explanation:
If you use a tape measure it will say 10 that would be X because it would be about ten inches
PLZZZ HELP! AC 7TH MATH
Answers
Answer:
Step-by-step explanation:
Exact Form:
1
10077696
Decimal Form:
9.92290301
⋅
10
−
8
i need help with this question please help me
Answers
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
What is the median of this data set?
Answers
Answer:
58
Step-by-step explanation:
It is the middle point/dot
in the box with the line
Please help! Thank you
Which graph shows the solution set for this inequality : 8z ≥ 16
Answers
Referring to the figure, what is the area of the trapezoid shown?
a. 114 in2 c. 528 in2
b. 15.5 in2 d. 228 in2
Answers
Answer:
none of those are right the answer is 132
Step-by-step explanation:
A
Correct answer is B
What are the surface area and volume of the following shape?
Answers
Answer:
surface area: 12
Volume: 12
Step-by-step explanation:
Find the volume first then the surface area.
Answer:
surface area: 12
Volume: 12
Step-by-step explanation:
Find the volume first then the surface area.
Which of the following scatter plots shows the strongest correlation
Answers
Answer:
the first one
Step-by-step explanation:
the reason this is because it is showing a linear graph and when it comes to correlation it has to be linear
The scatter plots shows the strongest correlation in graph A. Therefore, option A is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
A strong positive or negative correlation graph is where the line touches or is very close to every data point, and the line has a positive or negative slope.
From the graph A, we can see the points are closely aligned.
Therefore, option A is the correct answer.
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While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your friend has (4m+6) fireflies.
Write an expression in simplest form that represents the number of fireflies you and your friend caught together.
Answers
Answer:.
Step-by-step explanation:.
Answer:
7m+19
Step-by-step explanation:
If you are trying to figure it out only for that minute, you would get 7m+19 by first adding 4m and 3m and then adding 13+6. If you add those, you get 7m and 19. Combine them and you get 7m+19
A function with an input of 1 has and output of 3. Which of the following could NOT be the function equation?
1. y= 3x
2. y= x+2
3. y= 4x-3
4. y= 4x-1
Answers
Answer:
The answer is 3
y=4x-3❌
Step-by-step explanation:
1)y=3x=3(1)=3✅
2)y=x+2=1+2=3✅
3)y=4x-3=4-3=1❌
4)y=4x-1=4-1=3✅
A candy bar is \large 5\frac{1}{3} inches long. If it is divided into pieces that are each \large 1\frac{1}{4} inches long, then how many pieces of candy bar will there be?
( PLEASEEEE I need help on this one I really appreciate it )
Answers
Answer:
4 4/15
Step-by-step explanation:
5 1/3 divided by 1 1/4
16/3 divided by 5/4
16/3*4/5
64/15
4 4/15
Answer:
\(4 \frac{4}{15}\)
Step-by-step explanation:
Given expression:
\(5\frac{1}{3} \div 1\frac{1}{4}\)
Rewrite the mixed numbers as improper fractions:
\(\implies \dfrac{5 \times 3+1}{3} \div \dfrac{1 \times 4+1}{4}\)
\(\implies \dfrac{16}{3} \div \dfrac{5}{4}\)
To divide fractions, flip the second fraction, then multiply:
\(\implies \dfrac{16}{3} \times \dfrac{4}{5}\)
\(\implies \dfrac{16\times4}{3\times5}\)
\(\implies \dfrac{64}{15}\)
Divide the numerator by the denominator:
\(\implies 64 \div 15 = 4 \; \rm remainder\;4\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(\implies 4 \frac{4}{15}\)
Therefore, if a candy bar of length 5¹/₃ inches is divided into pieces that are each 1¹/₄ inches long, there will be 4⁴/₁₅ pieces of candy bar.