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Karo-lina-s [1.5K]
2 years ago
15

Marquis wrote the linear regression equation y = 1.245 x minus 3.684 to predict the cost, y, of x songs purchased. marquis spent

$40 on songs. which is the best estimate of the number of songs that marquis purchased? 29 32 35 46
Mathematics
1 answer:
mina [271]2 years ago
5 0

Answer:

35

Step-by-step explanation:

1. Write the equation

y = 1.245x - 3.684

2. Set y = 40, since that is the cost of the songs he purchased.

40 = 1.254x - 3.684

3. Add 3.684 to both sides

43.684 = 1.254x

4. Divide by 1.254

x = 35.0875502

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Read 2 more answers
suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily
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Answer:  Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79

Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37

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