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3 years ago

Which ratios are equivalent to the given ratio?

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

Answer:

1 : 4

2 to 8

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Step-by-step explanation:

Dahasolnce [82]3 years ago

5 0

Answer:

18/72

1:4

Step-by-step explanation:

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You get a raise of 3.5% each year.

Sindrei [870]

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

$A(t) = A(0)(1 + r)^t$

$2A(0) = A(0)(1.035)^t$

$(1.035)^t = 2$

$\log{(1.035)^t} = \log{2}$

$t\log{1.035} = \log{2}$

$t = \frac{\log{2}}{\log{1.035}}$

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

40000 x 2 x 2 = $160,000.

More can be learned about exponential functions at brainly.com/question/25537936

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3 0

2 years ago

In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don

vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

$n(U)=91+76+131-32-48-56+27+24=213$

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

$\dfrac{24}{213}\times 100\\\\=11.26\%$

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

$\dfrac{107}{213}\times 100\\\\=50.23\%$

Hence, a) 11.26% and b) 50.23%

4 0

4 years ago

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:

Katarina [22]

Answer:

The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

Step-by-step explanation:

See the graph attached.

It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.

Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.

So, the dragonfly will travel 528 miles. (Answer)

5 0

3 years ago

Read 2 more answers

How do you write standard form<br> 24 ten thousands

GREYUIT [131]

Standard form
24x10^3=24000

6 0

4 years ago

Read 2 more answers

Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer, a little geome

Gre4nikov [31]

Answer:

MB= 239627

MA= 239327

Radius= 3963

Step-by-step explanation:

7 0

3 years ago