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kkurt [141]
2 years ago
11

Kira had some money sitting in a savings account that earns 2.75% simple interest each year. She left it there for 8 years and e

arned $495 in interest. How much money did she have in the account to begin with.
Mathematics
1 answer:
Aleksandr [31]2 years ago
7 0

Answer:

$2250

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.75%/100 = 0.0275 per year,

then, solving our equation

I = 2250 × 0.0275 × 8 = 495

I = $ 495.00

The simple interest accumulated

on a principal of $ 2,250.00

at a rate of 2.75% per year

for 8 years is $ 495.00.

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1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
3 years ago
SOMEONE PLEASE HELP!!
Mazyrski [523]

Answer:

x = 18

Step-by-step explanation:

the sum of any exterior angle is equal to the sum of any two interior angles

3x-11 + 5x+14 = 9x-15

8x + 3 = 9x - 15

3 = x - 15

x = 18

4 0
2 years ago
A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
y' = \frac{dy}{dx}

seperable differential equations will have the form
\frac{dy}{dx} = F(x) G(y)

what you do from here is isolate all the y terms on one side and all the X terms on the other
\frac{dy}{G(y)} = F(x) dx
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
3 years ago
Can someone please help me like I really need help this problem has to have more than one step to be solved I really need help a
kumpel [21]

Answer:

85°

Step-by-step explanation:

Please follow along with these directions on the attached picture so that this makes sense.  I have labeled the picture with the variables I used and the angles I figured out.

Let's start in the top left corner. Remember: triangles always have 180°, and straight lines always have 180°.

180-115 = 65

65+85+x = 180, so x = 30

30+90+y = 180, so y = 60

180-155 = 25

25+60+z = 180, so z = 95

180-95 = 85°

8 0
2 years ago
If 2(x + 2) + 4(x - 1) = 8, then 3x =
lubasha [3.4K]

Answer:

3x=4

Step-by-step explanation:

3 0
2 years ago
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