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mihalych1998 [28]
3 years ago
11

Alexa worked 30 hours last week and earned $450. Her pay has now been increased by 20%. Which equation describes her new rate of

pay, p, based on the number of hours, h, worked
Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

p=18h

or

p=\dfrac{450}{30}\cdot 1.2\cdot h

Step-by-step explanation:

If Alexa worked 30 hours last week and earned $450, then her hourly payment is

\dfrac{\$450}{30}=\$15.

Her payment has now been increased by 20%, so her hourly payment becomes

\$15\cdot 1.2=\$18.

If she worked h hours, then she earned \$18h. If her new payment is p, then

p=18h

or

p=\dfrac{450}{30}\cdot 1.2\cdot h.

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
Read 2 more answers
(please show work!!!)
dmitriy555 [2]
The variable “x” can be defined as the price of regular gas.
The equation is x = x - (.02)7
x = x - (.02)7
(.02)7 = .14
x = x - .14
 X - X = nothing so it just leaves you with -.14
The answer is that the gas price changed by a total of - 14 cents or -0.14
7 0
2 years ago
The product of three consecutive numbers is 21,924. What is the smallest number out these numbers?
Natasha_Volkova [10]

Answer:

27

Step-by-step explanation:

Let the middle number be x.

(x - 1)(x)(x + 1) = 21,924

You can solve that equation, or you can use logic.

The 3 numbers are going to be close to the cubic root of 21,924.

cubic root of 21,924 = 27.988 or approx 28.

Try 27, 28, 29

27 * 28 * 29 = 21,924

Answer: 27

7 0
2 years ago
Find the area of the irregular figure. plssss
Flauer [41]

Answer:

366cm²

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Create a system of equations that can be used to determine the rental cost of each truck for the 1-day move. Be sure to specify
bogdanovich [222]

The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of rental for each truck in x hours.

From the table, for company A:

  • y = 0.59x + 29.95

For company B:

  • y = 0.79x + 19.95

The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
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