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wariber [46]
4 years ago
9

Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in inte

rest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?
Mathematics
1 answer:
Marizza181 [45]4 years ago
7 0
The formula for simple interest is
I=Prt
where I=interest earned, P=initial deposit, r=rate of increase, and t=time.

We have
I=14.65
r=2.5\%=0.025
t=2

Plug in:
14.65=P(0.025)(2)
Solve for P:
14.65=0.05P
\rightarrow P=293

So the initial deposit was $293.
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Select the expression that means y divided by 3.
LenKa [72]

Answer:

E. y/3

Step-by-step explanation:

Read and follow:

Y DIVIDED BY 3

Y         ÷            3

or just

\frac{y}{3}

Hope this helps

~R3VO

5 0
3 years ago
Read 2 more answers
7/8 - 1/4 - 1/2= ??
madreJ [45]

Step-by-step explanation:

We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.

Cheers!

7 0
3 years ago
What is a simplified form of the expression (5^2)-^2Divided by 5^3
laila [671]

Answer:

5^ -7  =1 / 5^7

Step-by-step explanation:

(5^2)-^2/ 5^3

We know that a^b^c = a^(b*c)

(5^2)-^2 = 5^(2*-2) = 5^-4

5^-4/  5^3

We know that a^b /a^c = a^ (b-c)

5 ^ (-4-3)

5^ -7

If we don't want to use negative exponents

We know that a^ -b = 1/ a^b

1 / 5^7

7 0
3 years ago
Help I don’t know how to do this please help
igor_vitrenko [27]

SOLUTION:

Case: Trigonometry

Method:

Let the distance between the Sun and the Earth be 'z'

The relationship between x, y and z is:

\begin{gathered} tan(x)=\frac{opp}{adj} \\ tan(x)=\frac{y}{z} \\ z=\frac{y}{tan(x)} \\ z=ycot(x) \end{gathered}

Final answer:

In sentence,

The distance between the Sun and the Earth is the product of the distance between the Earth and the moon and the cotangent of the angle x formed using the lines from the Earth and the moon.

8 0
1 year ago
I need help figuring out what I did wrong
rewona [7]

Answer:

D

Step-by-step explanation:

Using the addition formula for sine

sin(a + b) = sinacosb + cosasinb

and the exact values

sin(\frac{\pi }{4} ) = cos(\frac{\pi }{4} ) = \frac{\sqrt{2} }{2} , cos(\frac{\pi }{6}) = \frac{\sqrt{3} }{2} , sin(\frac{\pi }{6}) = \frac{1}{2}

Note that \frac{5\pi }{12} = \frac{\pi }{4} + \frac{\pi }{6} , thus

sin(\frac{5\pi }{12})

= sin(\frac{\pi }{4} + \frac{\pi }{6} )

= sin(\frac{\pi }{4})cos(\frac{\pi }{6} ) + cos(\frac{\pi }{4})sin(\frac{\pi }{6})

= ( \frac{\sqrt{2} }{2} × \frac{\sqrt{3} }{2} ) + ( \frac{\sqrt{2} }{2} × \frac{1}{2} )

= \frac{\sqrt{6} }{4} + \frac{\sqrt{2} }{4}

= \frac{\sqrt{6}+\sqrt{2}  }{4} → D

4 0
3 years ago
Read 2 more answers
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