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3 years ago

Word problem:

Mathematics

1 answer:

Dahasolnce [82]3 years ago

4 0

Step-by-step explanation:

=2* ( l+b )

=2* ( 11.37+9.245 )

=2* 20.595

=41.19

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Count by fives from 135 to 175 write these numbers and describe the pattern

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140,145,150,155,160,165,170,175. the pattern that the ones place is changing zero to five. it counts another tenth as it the number keeps growing

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3 years ago

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Your doctor prescribes you to take 400 mg of medicine every eight hours. How many ounces of medicine do you take in a day

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0.0423 ounces of medicine should be correct

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What is The value of Y in this exponential growth function when X equals two y=1.5x

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Y=3

Y=1.5x

If X=2 insert 2 into the equation

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3 years ago

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If a boat with a value of $23, 000 depreciates at a rate of 18% per year, what is the value

Naily [24]

Using an exponential function, it is found that the value of the car after 5 years will be of $8,527.

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

A decaying exponential function is modeled by:

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

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

For this problem, the initial cost and the decay rate are given as follows:

A(0) = 23000, r = 0.18.

Hence the value of the boat after t years is given as follows:

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

$A(t) = 23000(1 - 0.18)^t$

$A(t) = 23000(0.82)^t$

The value after 5 years will be of:

$A(5) = 23000(0.82)^5 = 8527$

The value of the car after 5 years will be of $8,527.

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

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2 years ago

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A master painter can paint 110 square yards of surface area with a roller in 1 hour, while his apprentice can paint 85 square fe

7nadin3 [17]

The apprentice needs 6.25 hours to complete the job using the brush

<h3><u>Solution:</u></h3>

Given, A master painter can paint 110 square yards of surface area with a roller in 1 hour

$\text { Then, his rate of painting }=110 \text { yard }^{2}$

We know that 1 yard = 3 feet

$=110 \times(1 \text { yard })^{2}=110 \times(3 \text { feet })^{2}=110 \times 9 \text { feet }^{2}=990 \text { square feet. }$

While his apprentice can paint 85 square feet of surface area per hour with a brush

Together they are painting a building with a surface area of 5100 square feet.

After painting for $4\frac{1}{4}$ hours , the master painter lets the apprentice Finish the job.

Now, they worked for $4\frac{1}{4}$ hours

Then, area painted = area painted by master + area painted by apprentice

$\text { Area painted }=990 \text { square feet per hour } \times 4 \frac{1}{4} \text { hours }+85 \text { square feet per hour } \times 4 \frac{1}{4} \text { hours }$

$\text { Area painted }=990 \times \frac{4 \times 4+1}{4}+85 \times \frac{4 \times 4+1}{4}$

$\begin{array}{l}{\text { Area painted }=990 \times \frac{17}{4}+85 \times \frac{17}{4}=(990+85) \times \frac{17}{4}} \\\\ {\text { Area painted }=1075 \times \frac{17}{4}=4568.75 \text { square feet. }}\end{array}$

Now, the remaining area to be painted = total area – painted area

Area to be painted = 5100 – 4568.75 = 531.25

So, apprentice has to paint 531.25 square feet alone.

$\text { Then, time required }=\frac{\text { area to be painted }}{\text { his rate of painting }}$

$=\frac{531.25}{85}=6.25$

Hence, the apprentice needs 6.25 hours to complete the job

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4 years ago