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aalyn [17]
4 years ago
13

Tahmar knows the formula for simple interest is l=prt where I represent the simple interest on an amount of money p for t years

at r rate she transforms the equation to isloate p : p using this formula what is the amount of money p that will generate $20 at a 5% interest rate over 5 years
Mathematics
1 answer:
zvonat [6]4 years ago
3 0

Answer:

  $80

Step-by-step explanation:

The formula for p is ...

  p = I/(rt)

Filling in the given values, we get ...

  p = $20/(0.05·5) = $80

The amount that will generate the desired interest is $80.

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What is the rate of change and initial value for the linear relation that includes the points shown in the table?
Wittaler [7]

Answer:

Initial value 12, rate of change: -2

Step-by-step explanation:

Step 1

Find the rate of change

we know that

In a linear equation the rate of change is equal to the slope

The formula to calculate the slope between two points is equal to  

m=\frac{y2-y1}{x2-x1}  

we have

A(1,10)\ B(2,8)  

Substitute the values  

m=\frac{8-10}{2-1}

m=-2  ----> rate of change

Step 2

Find the initial value

The equation of  the line into slope-point form is equal to

y-y1=m(x-x1)

Substitute

y-10=-2(x-1)

y=-2x+2+10y=-2x+12

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)

y=-2*0+12=12----> initial value

7 0
3 years ago
Read 2 more answers
One week Michael worked 40 hours and sold 2,870 worth of shoes if his employer paid him 12.50 per hour and 6% commission of all
liq [111]

Answer:

Money which Michael make in commission = 158.7

Step-by-step explanation:

Given that,

number of hours Michael worked in a week = 40 hours

total sale of the week = 2870

commission which Micheal will get on sale = 6% above 225sale

To find,

total money Michael make in commission in the week

Commission = (2870 - 225)*6%

Commission = (2870 - 225)*6/100

Commission = 2645 *6/100

Commission = 158.7

Total money Micheal make in a week = (40*12.50) + (158.7)

                                                                 = 658.7

5 0
3 years ago
1/7inch <br> ________<br> 1/14minutes<br><br> the unit rate is ? inch per minute
lara [203]
<h2>I'm kind of confused about what you are asking but wouldn't this | be the answer?                                                       V</h2>

Answer: 2 inches per minute

Step-by-step explanation:

This is a fraction equal to

0.14285714285714 inches ÷ 0.071428571428571 minutes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.071428571428571

0.14285714285714 inches ÷ 0.071428571428571

<h3><u>                                                                                  </u></h3>

0.071428571428571 minutes ÷ 0.071428571428571

<h3>=  </h3>

2 inches

<h3><u>              </u></h3>

1 minute

<h3>=  </h3>

2 inches

<h3><u>             </u></h3>

minute

= 2 inches per minute

8 0
3 years ago
How many seconds are in a year?
liberstina [14]

Answer:

31,536,000s on a 365 day year

31,622,400s on a leap year

There are 86,400 seconds in one day; multiply that by the number of days.

seconds per day x number of days

7 0
3 years ago
The force F is directly proportional to the product of charges q and Q and inversely proportional to the square of the distance
Ray Of Light [21]

The charge Q is 512 c.

Step-by-step explanation:

Step 1:

The equation is F=\frac{(q)(Q)}{R^{2}}, where q and Q are the charges, R is the distance between the charges, and F is the force between the charges.

From the question, we have;

F = 40 Newton, R = 16 m and q = 20 C.

We need to calculate Q.

Step 2:

By substituting the values of F, R, and q in the equation, we get

40 =\frac{(20)(Q)}{16^{2}} =\frac{(20)(Q)}{256}.

We cross multiply to solve Q.

Q =\frac{(40)(256)}{20} = 2(256) = 512.

So Q = 512 C.

6 0
3 years ago
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