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muminat
2 years ago
7

Mai’s family is traveling in a car at a constant speed of 65 miles per hour. 

Mathematics
2 answers:
Flauer [41]2 years ago
7 0
It will take them a total of 3.07 hours.
inysia [295]2 years ago
7 0

Answer:

3 hours and 5 minutes

Step-by-step explanation:

d/st

s=65. d=200

200/65=3°4°36.92

MAKE SURE TO USE DEGREE BUTTON ON CALCULATOR

therefore, 3 hours and 5 minutes

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On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money di
babunello [35]
<u>Define x:</u>

Let Fred had x dollar.

Fred = x 
Greg = x + 17

<u>Solve x :</u>

x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34

<u>Find the amount each of them had:</u>

Fred = x = $34
Greg = x + 17 = 34 + 17 = $51

Answer: Greg had $51
3 0
3 years ago
Read 2 more answers
Homework Due Tomorrow please help me it would be great​
olga nikolaevna [1]

Answer:

c

Step-by-step explanation:

work out the average for the data below

6 0
2 years ago
ASAP
Virty [35]

Answer:a: y=4.5+0.75x

B: y=2.5+1.25x

C: 7.5

Step-by-step explanation:

6 0
3 years ago
What is -7x=19 as a fraction?
wlad13 [49]

Answer:

x= -19/7

Step-by-step explanation:

-7x/-7=19/-7

7x/7=19/-7

8 0
3 years ago
Read 2 more answers
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