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ruslelena [56]
3 years ago
10

I need help on 12 please :)

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

the answer is 10 to the 5th power

Step-by-step explanation:


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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was
Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = x units/hr

Let the original time taken by Jonathan = y hours

Let the distance = D units

Formula for distance is given as:

Distance = Speed \times Time

Given that half the distance is covered by original speed.

\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

\dfrac{5}{4}x\ units/hr

Hence, Time taken:

\dfrac{y}{2}-\dfrac{1}{2}

Distance traveled is half of the total distance:

\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)

Dividing (1) by (2):

\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours

5 0
3 years ago
Amanda Vehicle has hired Jared Frost as its new president. Terms included the company’s agreeing to pay retirement benefits of $
vampirchik [111]
The amount needed in the account when Frost retires is given by the annuity formula. Compounding is 2 times per year.
.. A = Pi/(n(1 -(1 +r/n)^(-nt)))
.. 17900 = P*.08/(2*(1 -(1 +.08/2)^(-2*12)))
.. 17900 = P*.04/(1 -(1.04^-24))
.. P ≈ 272,920.64

The compound interest formula can be used to find the present value required. 4015 days is 11 years (ignoring leap years), so the amount to deposit can be calculated from
.. A = P*(1 +r/n)^(nt)
.. 272,920.64 = P*(1 +.08/2)^(2*11) = P*1.04^22
.. P ≈ 115,160.33

We don't know about the company's obligation to Robert. To fulfill its obligation to Frost, it must deposit 115,160.33 today.
8 0
3 years ago
What is the LCM of 15 and 25
Tresset [83]

Hello there!

Factors of 15: 1, 3, 5, 15

Factors of 25, 1, 5, 25

5*5*3=75

The least common factor of 15 and 25 is 75 is the right answer.

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

7 0
3 years ago
Read 2 more answers
A circle has a circumference of 28.26cm. what is the area of the circle? show work please
earnstyle [38]
-circumference is equal to pi×diameter, area is equal to pi×radius^2
-28.26÷3.14=9, 9÷2=4.5, 4.5×4.5=20.25, and 20.25×3.14=63.585
-rounded to the nearest hundredth, the answer is 63.59


8 0
3 years ago
In a glide reflection, what comes first and what comes second?
NISA [10]

Answer:

A glide reflection is a composition of transformations.In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. Therefore, the only required information is the translation rule and a line to reflect over. ... The first one is a translation rule.

3 0
3 years ago
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