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LiRa [457]
3 years ago
8

You borrow money for 4 years. The total amount that you repay is $7,840, which includes $840 in simple interest. How much was th

e principal? What was the annual interest rate?
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

  • principal: $7000
  • interest rate: 3%

Step-by-step explanation:

amount repaid = principal + interest

$7840 = principal + $840

$7000 = principal . . . . . . . . subtract $840 from both sides of the equation

___

I = Prt

840 = 7000·r·4

840/(4·7000) = r = 0.03 = 3%

The principal was $7000; the interest rate was 3%.

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A vehicle is moving at a constant speed travels 45 miles in 3/4 hour. The driver thinks he will be late to a meeting that is sti
Ivahew [28]

The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed

Step-by-step explanation:

Given

Distance = d = 45 miles

Time = t = 3/4 hour

The unit rate is defined as the distance per unit time. In this case, the unit rate can also be called speed.

So,

s = \frac{d}{t}\\s = \frac{45}{\frac{3}{4}}\\s = 45 * \frac{4}{3}\\s = 60\ miles\ per\ hour

Using this unit rate we can see if the car can travel 65 miles in 1.25 hours or not

Given

Distance = d1 = 65 miles

Speed = s = 60 miles per hour

Putting the values in the formula for speed

s = \frac{d_1}{t_1}\\60 = \frac{65}{t_1}\\t_1 = \frac{65}{60}\\t_1 = 1.08\ hours

As we can see that 1.08 is less than 1.25 so the driver will reach the meeting before time if he drives on a constant speed of 60 miles per hour

Hence,

The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed

Keywords: Speed, unit rate

Learn more about speed at:

  • brainly.com/question/9801816
  • brainly.com/question/96882

#LearnwithBrainly

7 0
3 years ago
Find the measure of the missing angles.
Sergio039 [100]

Answer:

d = 105° , e = 32° , f = 43°

Step-by-step explanation:

d and 105° are vertically opposite angles and are congruent , then

d = 105°

e and 32° are vertically opposite angles and are congruent , then

e = 32°

105° , e and f lie on a straight line and sum to 180° , that is

105° + e + f = 180°

105° + 32° + f = 180°

137° + f = 180° ( subtract 137° from both sides )

f = 43°

8 0
2 years ago
Read 2 more answers
Audrey drew a model to determine how many eighths are in 5.
____ [38]

Answer:

there are 40 eighths in 5

Step-by-step explanation:

40/8 (the fraction)

40÷8=5

is that what the question is asking?

8 0
3 years ago
Read 2 more answers
Evaluate -x^2-2x+5 when x=-10
kvv77 [185]
If I'm correct and the ^ stands for multiplication then the answer should be 5.

The picture is my work just ignore the fraction.

6 0
3 years ago
A prism _____ has two congruent, parallel bases.<br> always<br> sometimes<br> never
Hunter-Best [27]

Answer :

A prism __<u>always</u>___ has two congruent, parallel bases.

always

sometimes

never

5 0
3 years ago
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