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3 years ago

The hourly temperature at Portland, Oregon, on a particular day is recorded below.

Mathematics

1 answer:

adell [148]3 years ago

3 0

Answer:

a. Amplitude: 19.65446

b. Vertical Shift: 58.00713

c. Period: 2 $\pi$ /0.22797 = 27.56146

d. 19.65446 * sin(0.22797x + 1.79552) + 58.00713

e. Model's Temperature at 10 A.M.: f(-7) = 61.91

This value is 9.91 degrees higher than the actual value.

Step-by-step explanation:

Used graphing calculator's stat calculations

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How much interest is earned on $1470 at 4% for six months

Elenna [48]

Answer:

$29.4

Step-by-step explanation:

I assume the question is based on simple interest since you didn't specify

Using simple interest

Simple interest=P×R×T

Where,

P=principal=$1470

R=interest rate=4%=0.04

T=time=6 months=0.5 year

Simple interest=P×R×T

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=29.4

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2 years ago

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2 years ago

A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi

Aloiza [94]

Answer:

Part A)

$P=\$8,500\\ r=0.052\\n=4$

Part B) $S(7)=\$12,203.47$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$S(t)=P(1+\frac{r}{n})^{nt}$

where

S is the Future Value

P is the Present Value

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part A)

in this problem we have

$P=\$8,500\\ r=5.2\%=5.2/100=0.052\\n=4$

Part B) How much money will Marcus have in the account in 7 years?

we have

$t=7\ years\\ P=\$8,500\\ r=0.052\\n=4$

substitute in the formula above

$S(7)=8,500(1+\frac{0.052}{4})^{4*7}$

$S(7)=8,500(1.013)^{28}$

$S(7)=\$12,203.47$

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3 years ago