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1 year ago

14

Mario invests $1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. x = number

of years Savings account: f(x) = 1500(1.02)x Cash savings: g(x) = 50(12x) Which function represents the total amount Mario will save over x years?

1 answer:

weeeeeb [17]1 year ago

6 0

Step-by-step explanation:

1500*.02*1=30

50*12*1=60

g(x)=50(12x) good

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.

Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m + 40 m + c = 120 m

61 m + c = 120 m

c = 120 m - 61 m

c = 59 m

B

↓ ↓

↓ ↓

↓ ↓

A → → → → → → → → → → → C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

$a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0$

Angle B is calculated as follows;

$Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0$

Angle C is calculated as follows;

$Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0$

Therefore, the largest angle of the field is 149⁰.

8 0

3 years ago

Kenny's weight is 6/7 times melvin's weight. what is the ratio of melvin's weight to the total weight of the two boys?

dangina [55]

Answer=7:13

Kenny's Weight*6/7=Melvin's Weight

So, for example, if Melvin's weigh was 7...

Kenny's Weight*6/7=7
divide both sides by 6/7
Kenny Weight=6

So we can say that Melvin's weight to Kenny's weight is 7:6

The boys total weights would be...
7+6=13

So Melvin's weight over the total weight of the two boys is:

7:13

4 0

3 years ago

Read 2 more answers

What is the inverse of f(x)=(-2x+2)/(x+7)?

Nana76 [90]

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

$x \to y$

$f(x) \to x$

$x = \frac{-2\cdot y + 2}{y+7}$

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

$g(x) = \frac{- 7\cdot x + 2}{x + 2}$

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

4 0

2 years ago

A group of 60 households drank a total of 138 liters of water in a day. Estimate the average number of liters of water that one

KatRina [158]

Answer:

2.3

Step-by-step explanation:

138 divided by 60=2.3

divide the amount consumed by the total number of households involved

3 0

3 years ago

There are 45 exotic fish in a fish tank. 9 of those fish are clown fish. What percent of the fish in the tank are clown fish.

Marrrta [24]

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

(value/total value)×100%.

So,
9/45=0.2 x 100= 20%

Answer= 20%

6 0

3 years ago