Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

QUESTION POSTED AT 15/01/2020 - 03:11 AM

Answered by admin AT 15/01/2020 - 03:11 AM

 $80

Working
Making p the subject gives:
P=
 \frac{I}{rT}
Substituting for values of I, r and t
p=  \frac{20}{0.05*5}
p=80 dollars
Post your answer

Related questions

For every 10 fish you have, you need 5 gall how many gallons pf water do u have for 1 fish

10/5 = 1/x
cross multiply
10x = 5
x = 5/10
x = 1/2...u need 1/2 gallon per fish

ANSWERED AT 29/01/2020 - 05:40 PM


QUESTION POSTED AT 29/01/2020 - 05:40 PM

The value of a car is inversely proportional to age. If a car is worth 8100 when it is 6 years old, how old will it be when it is worth 5400?

8100/6 = 5400/x
cross multiply
8100x = 32400
x = 32400/8100
x = 4......4 years old

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

It takes Joaquin 1/5 hour to hike 1/4 mile. What is Joaquin's unit rate, in miles per hour?

(1/5) / (1/4) = x/1
cross multiply
1/4x = 1/5
x = 1/5 * 4
x = 4/5....he hikes 4/5 of a mile per hr

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

A given line has the equation 10x 2y -2.What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?)x 12O Submitted

10x + 2y = -2
2y = -10x - 2
y = (-10/2)x - 2/2
y = -5x - 1...the slope here is -5...a parallel line will have the same slope.

y = mx + b
slope(m) = -5
(0,12)...x = 0 and y = 12
now we sub...we r looking for b, the y intercept
12 = -5(0) + b
12 = b

so ur parallel line is : y = -5x + 12

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

A given line has the equation 10x -2.2y What is the equation, in slope-intercept form, of the line that is parallel to given line passes through the point (0, 12)?the and )x 12submitted

10x + 2y = -2

2y = -10x - 2

y = -(10/2)x - 2/2

y = -5x  - 1    y = mx + c,   slope m = -5.

If it is parallel, then the slope of the second line ought to be -5 as well.

So you should fill -5 in the bracket.

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books. Which equation models the situation?

Answer:

(3.95m) + (8.95b) = 47.65

Step-by-step explanation:

Hugh bought some magazines that cost = $3.95 each

the cost of each books = $8.95

He spent a total on purchase of books and magazines = $47.65

Let m represent the number of magazines and b represent the number of books.

Now the equation will be

(3.95m) + (8.95b) = 47.65

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 2x+7y=4 -4x -3y=14

2x + 7y = 4.....multiply by 2
-4x - 3y = 14
------------------
4x + 14y = 8 (result of multiplying by 2)
-4x - 3y = 14
----------------add
11y = 22
y = 2

2x + 7y = 4
2x + 7(2) = 4
2x + 14 = 4
2x = 4 - 14
2x = - 10
x = -5

solution is : (-5,2)

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Check all that apply. a. 2.3p – 10.1 = 6.4p – 4 b. 2.3p – 10.1 = 6.49p – 4 c. 230p – 1010 = 650p – 400 – p d. 23p – 101 = 65p – 40 – p e. 2.3p – 14.1 = 6.4p – 4

Start with given equation  2.3p - 10.1 = 6.5p - 4 - 0.01p .

1. In the right side you have three terms, two of them include p, so you can rewrite right side as

 6.5p - 4 - 0.01p=(6.5p - 0.01p)-4=p(6.5-0.01)-4=6.49p-4.

Then the whole equation is

 2.3p - 10.1 = 6.49p - 4 as in option B. This means that option B is true and option A is false (because left sides are the same, but right sides differ).

2. Now multiply the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p by 100:

 230p - 1010 = 650p - 400 - p, this equation is exactly as equation in option C. This gives you that option C is true.

3. Now multiply the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p by 10:

 23p - 101 = 65p - 40 - 0.1p, this equation differs from the equation in option D (because left sides are the same, but right sides differ). This gives you that option D is false.

4. At last, subtract 4 from the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p :

 2.3p - 14.1 = 6.5p - 8 - 0.01p,\\ 2.3p - 14.1 = 6.49p - 8,

this equation differs from the equation in option E (because left sides are the same, but right sides differ). This gives you that option E is false.

Answer: correct choices are B and C.

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

What is the circumference of circle p? Express your answer in terms of π (pi).

Whats the radius
of the circumfrence

ANSWERED AT 29/01/2020 - 05:35 PM


QUESTION POSTED AT 29/01/2020 - 05:35 PM

What is the circumference of circle p? Express your answer in terms of π (pi).

C = 2 * pi * r
C = 2 * pi * 29
C = 58(pi)

ANSWERED AT 29/01/2020 - 05:34 PM


QUESTION POSTED AT 29/01/2020 - 05:34 PM

In what year did the Great Depression begin

October 29, 1929 – 1939

ANSWERED AT 29/01/2020 - 05:34 PM


QUESTION POSTED AT 29/01/2020 - 05:34 PM

What is the circumference of circle p? Express your answer in terms of π (pi).

Equation: C = 2 \pi r
Step 1.) C = 2 * 3.1415 * 17
Solution: 106.814

ANSWERED AT 29/01/2020 - 05:33 PM


QUESTION POSTED AT 29/01/2020 - 05:33 PM

The coordinates on the coordinate grid is (-1,5) the point is reflected across the x-axis to obtain a new point . The coordinate of the reflected point is?

1,5 I think because the x is negative so it would become positive and the y would stay the same.

ANSWERED AT 29/01/2020 - 05:32 PM


QUESTION POSTED AT 29/01/2020 - 05:32 PM

Find the zeros of the function. f(x)= 3x^3- 12x^2- 15x a. 0, 1, and -5 b. -1 and 5 c. 0, -1, and 5 d. 1 and -5

F(x) = 3x³ - 12x² - 15x

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:
3x = 0
x + 1 = 0
x - 5 = 0

3) Solve:
x = 0, -1, 5

ANSWERED AT 29/01/2020 - 05:31 PM


QUESTION POSTED AT 29/01/2020 - 05:31 PM

What value of x makes this equation true? 6x/-4=6(-1/2) a) -2 b)2 c)3 d)-3

6x/-4 = 6(-1/2)
6x/-4 = - 3...multiply by -4
6x = -3 * -4
6x = 12
x = 2


ANSWERED AT 29/01/2020 - 05:30 PM


QUESTION POSTED AT 29/01/2020 - 05:30 PM

What is the equation of a line that is perpendicular to y=3x-2 and passes through the point (6,8)

Answer:

APEX - y = -1/3x +10

Step-by-step explanation:

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

When a rate is simplified so that it has a denominator of 1 unit, it is called a(n)_________ rate

Unit rate is the only one that makes logic sense

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

If g(x ) = 3x - 5, then g -1(x )=

G(x) = 3x - 5

let g(x) = y

y = 3x - 5

y + 5 = 3x

3x = y + 5

x = (y + 5)/3

From y = g(x),  x = g⁻¹(y) 

x = (y + 5)/3

 g⁻¹(y)  = (y + 5)/3

 g⁻¹(x)  = (x + 5)/3

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

A triangle has dimensions 3,4, and 5. A similar triangle is drawn with a scale factor of 2. What are the dimensions of the new traingle?

5,8, and 10 because you're scale factor is by 2, so you multiply your originals by the scale factor

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Answer:

\text{Length of hypotenuse is }\sqrt{41}units

Step-by-step explanation:

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

By Pythagoras theorem,

In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=\sqrt{41}units=6.4units

Hence, \text{length of hypotenuse is }\sqrt{41}units

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without the discount was $ and he paid $

32% of what is 64
0.32x = 64
x = 64/0.32
x = 200 <=== thats without the discount

200 - 64 = 136 <== thats with the discount


ANSWERED AT 29/01/2020 - 05:26 PM


QUESTION POSTED AT 29/01/2020 - 05:26 PM

What is the value of m in the equation, 1/2m-3/4 n=16 when n= 8?

First we sub n=8 into the equation. 

1/2m-3/4(8)=16
1/4 of 8 = 2 therefore 3/4 = 6
1/2m-6=16

Reverse equations
  add 6
1/2m=22
  multiply 1/2 which is the same as dividing by 2

m=11

ANSWERED AT 29/01/2020 - 05:25 PM


QUESTION POSTED AT 29/01/2020 - 05:25 PM

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change?

A. variable is an unknown number substituted in by a letter, such as h or s
    coefficient is the number multiplied by the variable.....7n....coefficient is 7
    constant is just a number with no variables attached.
    7.50h + 0.20s + 40.....coefficient is 7.50 or 0.20....variable is h or         s....constant is 40

B. 7.50h + 0.20s + 40 = her pay for the week
     she works 25 hrs....so sub in 25 for h....she sells 300....so sub in 300 for      s. ---- 7.50(25) + 0.20(300) + 40 = 287.50 <== her weekly pay

C. if she made 9 per hr instead of 7.50, the coefficient would change.
     It would be 9.00h + 0.20s + 40

ANSWERED AT 29/01/2020 - 05:24 PM


QUESTION POSTED AT 29/01/2020 - 05:24 PM

What is the point-slope equation of the line with slope -13 that goes through the point (5,7)

Point slope formula: 
y-y_1=m(x-x_1)

We know that:
m=-13 
y1=7
x1=5
Plug those into the equation to get a final answer of:
y-7=-13(x-5)

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

Point P (-3,-1) is the preimage. Point P’(3,-1) is the image after a reflection is performed. Give the line of reflection.

Answer with explanation:

⇒Position of Pre image = P (-3,-1)

This point  is lying in third Quadrant.

⇒Position of Image = P'(3, -1)

This Point is Lying in Fourth Quadrant.

The Preimage(-3, -1) is reflected along Negative Y axis to get Image (3,-1).

So, Line of Reflection = Y axis

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

Honora started an insect collection. By the fourth week,she collected 32 insects. Week Number of Insects 1 4 2 8 3 16 4 32 5 ? If the pattern continued, how many insects did Honora collect by Week 5?

Weeks                    :     1       2     3        4      5
number of insects  :     4      8     16     32     64

each week ur insect collection doubled...so by week 5, u had 64 insects in ur collection

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM