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leonid [27]
2 years ago
10

Sharon makes headbands and sells them online. She is analyzing the sales of two of her most popular styles, For style A, she sol

d 40 in the first month and had a 10% increase in sales each month after that. For style B, she sold 20 in the first month and had a 15% increase in sales each month after that.
Which system of equations can she use to determine the number of months, m, until the sales, s, are the same for both headband styles?

A. s = 40(0.10)^m, s = 20(0.15)^m
B. s = 1.1(40)^m, s = 1.15 (20)^m
C. s = 40(1.1)^m, s = 20(1.15)^m
D. s = 10(40)^m, s = 15(20)^m​
Mathematics
2 answers:
Nuetrik [128]2 years ago
8 0

Answer:

Option C

Step-by-step explanation:

C: s=40(1.1)^m, s=20(1.15)^m

correct on edmentum

Crank2 years ago
6 0

Answer:

the answer is c: s=40(1.1)^m, s=20(1.15)^m

Step-by-step explanation:

in option A, (0.10) and (0.15) make it exponential decay rather than exponential growth like it's supposed to be.

In option B, the rate of growth is supposed to be on the exponent, not the sales themselves in the equation

option c is correct I just finished the test

option d has the same mistake as a and b combined

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What is the range of an exponential parent function with base 2?
Katarina [22]

Answer:

I think it's c all real number

7 0
2 years ago
Read 2 more answers
Martina, Jim, and Scott served a total of 121 orders Monday at the school cafeteria. Martina served 6 more orders than Scott. Ji
iris [78.8K]

Answer:

Martina 29, Scott 23 and Jim 69.

Step-by-step explanation:

We are told that:

Martina served six more X orders than Scott (X+6).

So, Scott served X orders.

And Jim served 3 times X order as Scott.

We will have then:

X + (X+6) + 3X = 121

5X + 6 = 121

5X = 121 - 6

5X = 115

X = 115/5

X = 23

So, Scott served 23 orders, Martina 29 and Jim 69.

8 0
2 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the
NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 71.9, \sigma = 7.8

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

Z = \frac{X - \mu}{\sigma}

-0.995 = \frac{X - 71.9}{7.8}

X - 71.9 = -0.995*7.8

X = 64

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

Z = \frac{X - \mu}{\sigma}

-1.28 = \frac{X - 71.9}{7.8}

X - 71.9 = -1.28*7.8

X = 62

Grades between 62 and 64 result in a D grade.

6 0
3 years ago
12÷4×32+(4−2)5
Taya2010 [7]
Hsyshshshbshsbsbbajshshsjwjwnw
7 0
3 years ago
James earned $39,600 last year. He paid $11,250 towards rent and $1,422 in car payments. What percent of his earnings did Jon pa
tester [92]
Step 1:
Add rent & car payments

=11,250+1422
=$12,672

Step 2:
to determine %, set up a proportion
12,672 is to his total of 39,600 as x is to 100

12,672/39,600 = x/100
cross multiply
(12,672)(100) = (39,600)(x)
1,267,200= 39,600x
divide both sides by 39,600
32%= x

OR

Alternative Step 2:
12,672 ÷ 39,600= 0.32
Alternative Step 3:
0.32 x 100 = 32%
or move decimal to the right 2 places

His rent and car payments are 32% of his earnings.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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