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Oliga [24]
3 years ago
7

On which interval are both the sine and cosine functions increasing?

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer: It’s A

Step-by-step explanation:

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Lisa is earning 7.50 dollars per hour she worked for 33 hours last week. how much money did she earn?
never [62]

Answer:

Lisa earned $247.50 for working 33 hours.

Step-by-step explanation:

WAY 1: proportional reasoning

7.50 x

------ = ----

1 h 33h

33 / 1 = 33

7.50 x 33 = 247.5

WAY 2: unit rate reasoning

7.50 per hour so x value of money for 33 h

7.50 x 33 = 247.5

7 0
2 years ago
Read 2 more answers
c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
One number is five more than a second number. The product of the numbers is 3,300. Find the two numbers
krek1111 [17]
A = b+5
ab = 3300
(b+5)b = 3300
b² +5b -3300 = 0  (quadratic formula)
b=55
a=60      (by first relation)
7 0
3 years ago
Which prism has a volume of 5 cubic units?
erastova [34]

Answer:

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so  1 and one fourth units by 4 units by 1  unit

6 0
3 years ago
Read 2 more answers
Complete the steps to find the value of x
vampirchik [111]
72, 96, 84, 12

72 + (7x+24) = 180
7x + 96 = 180
7x = 84
x = 12
3 0
3 years ago
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