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3 years ago

There are currently 502 students at Hendrick Middle School. If that number is continuously

Mathematics

1 answer:

Alisiya [41]3 years ago

7 0

Answer:

In the next 31 years

Step-by-step explanation:

In this question, we are tasked with calculating the number of years it will take for a school’s population to reach a certain amount of it is increasing at a certain rate.

We can use a mathematical exponential approach to solve this.

Let’s say;

P = I( 1 + r)^t

where P is the projected population at 926

I is the initial population at 502

r is the percentage change or rate at 2% which is same as 2/100 = 0.02

and t is time

Plugging these values, we have

926 = 502(1 + 0.02)^t

Divide through by 502

1.845 = 1.02^t

take the logarithm of both sides

log 1.845 = tlog 1.02

t = log 1.845/log 1.02

t = 30.9 = 31 years

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Kara had a savings account balance of $153 on Monday on Tuesday she has six withdrawals of $15.72 and a deposit of $235.15 what

trasher [3.6K]

Answer:

$293.83

Step-by-step explanation:

She started with $153. The next day she withdrew $15.72 six times, that is $15.72*6 = $94.32

We have to subtract $94.32 from the starting amount, that is $153 - $94.32 = $58.68

After that, she deposited $235.15. We have to add that to the current balance.

Now she has $58.68 + $235.15 = $293.83

Therefore, her account balance after these transactions is $293.83

3 0

3 years ago

a pipeline is laid at a rate of 1/8 mile per day.How many miles of line would be completed in 29 1/2 days

Setler [38]

Answer:

In 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

Step-by-step explanation:

The length of pipe laid in 1 day = 1/8 mile

So, the length of pipe laid in half day = half of (1/8 mile)

= $\frac{1}{2} \times \frac{1}{8} = \frac{1}{16} \textrm{mile}$

Now, 29 1/2 days on simplification means 29 and half day.

So, length of pipe in 29 days = $29 \times \frac{1}{8} = \frac{29}{8}$ mile

Now adding the length laid in half day = $\frac{29}{8} + \frac{1}{16} = \frac{29 (2) + 1}{16} = \frac{59}{16} \textrm{mile}$

So, in 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

8 0

3 years ago

Please answer this correctly

suter [353]

Answer:

1 11/24 tablespoons

Step-by-step explanation:

$1+1+1\frac{1}{3} +1\frac{1}{3} +1\frac{2}{3} +1\frac{2}{3} +1\frac{2}{3} +2=\\\\2+2\frac{2}{3} +3\frac{6}{3} +2=\\\\9\frac{8}{3} =\\\\11\frac{2}{3}$

There were 8 mugs in total so:

$11\frac{2}{3}$ ÷ 8=

$11\frac{2}{3} *\frac{1}{8} =\\\\\frac{35}{3} *\frac{1}{8} =\\\\\frac{35}{24} =\\\\1\frac{11}{24}$

5 0

3 years ago

What is the percentage difference between 26 and 14?

topjm [15]

Answer:

0.12%

Step-by-step explanation:

Percent means out of hundred

therefore 26 in percentage is written as

$\frac{26}{100} = 0.26$

=0.26%

and 14 in percentage is written as

$\frac{14}{100}$

=0.14%

percentage difference between 26 and 14 , therefore

=0.26% - 0.14%

=0.12%

6 0

3 years ago

1.5 : 2.5 how to simplify it

nataly862011 [7]

If you use the common denominator of .5 for both sides of the ratio, you will arrive at 3:5 as a simplified form.

7 0

2 years ago

Read 2 more answers