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fenix001 [56]
3 years ago
5

Amber got a raise, and her hourly wage increased from $8 to $9.50 what is the percent increase

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

The percent increase is <u>18.75%</u>.

Step-by-step explanation:

Given:

Amber got a raise, and her hourly wage increased from $8 to $9.50.

Now, to find percent increase.

Previous wage = $8.

Wage raised = $9.50.

So, to get the increased wage we subtract the previous wage from the wage raised:

\$9.50-\$8=\$1.50.

Now, to get the percent increase:

\frac{1.50}{8} \times 100

=\frac{150}{8}

=18.75\%.

Therefore, the percent increase is 18.75%.

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How long would it take you to double your money is the bank pays 3.6% interest, compounded
Lapatulllka [165]

Answer:

t=19.25\ years

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x  

substitute in the formula above

2x=x(e)^{0.036t}  

solve for t

simplify

2=(e)^{0.036t}  

Apply ln both sides

ln(2)=ln[(e)^{0.036t}]

Applying property of exponents

ln(2)=[0.036t]ln(e)

Remember that ln(e) =1

ln(2)=[0.036t]

t=ln(2)/[0.036]

t=19.25\ years

7 0
3 years ago
A 24 inch board is cut into 3 pieces so that the second piece is twice as long as the first and the third is 3 times as long as
Lady_Fox [76]

Answer:

The answer to your question is:  first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

               x + 2x + 3x = 24

               6x = 24

               x = 24/6

               x = 4               length of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

3 0
3 years ago
Read 2 more answers
For a certain map, the scale shows that 1 cm on the map equals 2.50 km on earth's surface. two towns on the map are 4.75 cm apar
Julli [10]
<span>In this problem, to find the answer we have to setup a series of ratios that relate the scale to real life distance. We know that 1cm = 2.50km, so that ratio would be 1cm/2.5km. For two towns that are 4.75cm apart on the map, we set a ration of 4.75cm/x km, where x is the actual distance. Now we set the ratios equal to each other and solve for x. 1/2.5=4.75/x where x = 4.75*2.5/1 = 11.875 and rounding up we get 11.88 km. The two towns are actually 11.88 km apart from each other.</span>
3 0
3 years ago
How are radicals and rational exponents related?
icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0
3 years ago
Help me with number three plzzzz i took a picrure below
kvasek [131]
All you have to do to solve this problem is to put it into fraction form: if for every $4 Jo makes, Leila makes $3, then the fraction would be 3/4.

To solve this divide 60 by 4 to get 15 and then multiply 15 by 3 to get Leila's pay. 15*3=45

Check it by putting it into simplest form as a fraction to see if it checks:

45/60=3/4 and 3/4=3/4 so therefore Leila makes $45 in profit

3 0
3 years ago
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