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3 years ago

8 1/3 - 4 3/4 I will reward brainlyest

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Answer:

The answer is 3 7/12 Hope this helps :)

Step-by-step explanation:

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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

Determine whether the graphs of y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincident, or none of these.

Elden [556K]

It's parallel. Definitely true

3 0

3 years ago

Read 2 more answers

Horace read 160 pages in 4 hours. How many pages can he read in 6 hours??

Rashid [163]

160/4 = p/6

Cross-multiply the propportion:

160 x 6 = 4p

Divide each side by 4:

p = 40 x 6 = 240 pages

8 0

3 years ago

Read 2 more answers

Scientists have found that the life span of a mammal living in captivity is related to the mammals mass. The life span in years

Tatiana [17]

To know the life span of the wolf and the lion, we simply substitute their mass to the formula for L.

Mass of wolf:
$L=12 m^{ \frac{1}{5} }= 12 (32)^{ \frac{1}{5} }=24$

Mass of lion:
$L=12 m^{ \frac{1}{5} }= 12 (243)^{ \frac{1}{5} }=36$

Therefore, the wolf has a life span of 24 and the lion has a life span of 36. With this information, we can determine how much longer the life span of the lion is:
$36-24=12$

ANSWER: The life span of the lion is 12 longer than the life span of the wolf.

7 0

3 years ago

The relation {(4, -1), (-3, 8), (-11, 10), (2, -5)} is a function. Which of the ordered pairs below could be added to this relat

Oxana [17]

Answer:

1. (2,8)

Step-by-step explanation:

the input 2 would no longer have only one output

3 0

3 years ago