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Tpy6a [65]
3 years ago
13

Solve for the missing item in the following. (Do not round intermediate calculations. Round your answer to the nearest cent.)

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

9514 1404 393

Answer:

  $1904.76

Step-by-step explanation:

The interest formula is ...

  I = Prt . . . . interest on principal P at rate r for t years

Solving for P, we find ...

  P = I/(rt) = 200/(0.07·1.5) = 200/0.105 ≈ 1904.76

The principal amount was $1904.76.

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A town has population of 5000 and grows at 3.5% every year. To the nearest tenth
Amanda [17]

It would take approximately 11 years for this population to reach 7300.

<h3>How to calculate the time?</h3>

Based on the information provided, the future size of the population can be modelled by using an exponential function:

F = Pe^rt

Substituting the given parameters into the formula, we have;

7300 = 5000e^{0.035 × t}

7300/5000 = e^{0.035t}

1.46 = e^{0.035t}

Taking the ln of both sides, we have:

ln(1.46) = ln(e^{0.035t})

0.378 = 0.035t

t = 0.378/0.035

Time, t = 10.8 ≈ 11 years.

Read more on exponential functions here: brainly.com/question/15926922

#SPJ1

4 0
2 years ago
What is 1459 * 569/7+997​
Daniel [21]

Answer:

837150 /7

Step-by-step explanation:

459( 569 /7 )+997

=

830171 /7 +997

=

837150 /7

3 0
3 years ago
What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?
Lisa [10]

Answer:

\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.

\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}

8 0
4 years ago
Maria had $22 to spend on five pencils. After buying them she had $12.
andrey2020 [161]
22-12=10, so 10 divided by 5 is equal to 2. each pencil cost 2 dollars :) i would rlly appreciate being marked brainliest !
4 0
3 years ago
Read 2 more answers
Make a hundred 178+98
Bumek [7]
276 is the answer
to make into 100 do
276 - 100= 176
then do 276 - 176= 100.
7 0
3 years ago
Read 2 more answers
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