Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.

Answers

Answer 1

Answer:

The percent of interest is 12.3% per year

Step-by-step explanation:

According to the question Elwood invested 5000 $ in market account

The market account gives the compound interest annually

let p be the interest per year then

At the end of 1st year

amount =(1+0.p) x 5000  = 1.p x 5000

similarly at the end of 2nd year

amount =(1+0.p) x(1+0.p)x 5000  = [tex](1.p)^{2}[/tex] x 5000

similarly at the end of 3rd year

amount = 7100 $ = [tex](1.p)^3[/tex] x 5000

⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]  

1.392 =  [tex](1.p)^3[/tex]

on further solving we get

1.p = [tex](1.42)^{1/3}[/tex] = 1.123

thus 1.p = 1 + 0.p = 1.123

thus p = 0.123

thus the percent of interest is 12.3% per year

Answer 2

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!


Related Questions

NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

A.) 10.25 units
B.) 10 units
C.) 12.7 units
D.) 12.25 units

Answers

Answer:

A.) 10.25

Step-by-step explanation:

Answer:

I think its D

Hope this helps

Solve 37+z≤54
then graph the solution

Answers

This is the answer I think

Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?

Answers

Answer:

187.96 cm

Step-by-step explanation:

Given hat

Tyson is 6 feet and 2 inches tall

Also

There is 2.54 cm in 1 inch

Now the tyson height in the centimeter is

= 6.16666 × 30.48

= 187.96

Hence, the Tyson height in the centimeter is 187.96

Answer:

187.96

Step-by-step explanation:

(answer d)

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E

What additional Information is sufficient to prove that parallelogram ABCD is also a rhombus?

Answers

9514 1404 393

Answer:

  D.  AC ⊥ BD

Step-by-step explanation:

Given that  ABCD is a parallelogram, we already know A (BD bisects AC) and B (AB ║ CD). Statement C (AC ≅ BD) will not be true for a parallelogram or rhombus.

Statement D (AC ⊥ BD) guarantees the parallelogram is a rhombus.

the girl boy ratio was 9-7 if 63 girls attended how many boys attended?

Answers

Answer:

49      100 percnet

Step-by-step explanation:

9:7

times by 7

The number of boys attended are 49.

What is the definition of the ratio?In mathematics, a ratio is a term used to compare two numbers. It is used to express how large or small an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the 'antecedent,' while the divisor is referred to as the 'consequent.'

For the given question.

Let the number of girls be 'x' = 63.

Let the number of boys be 'y'.

The ratio of girls to boy is 9:7.

Thus,

x/y = 9/7

Boys  = ?

y = 7x/9

Put x = 63

y = 7×63/9

y = 49

Thus, the number of boys attended are 49.

To know more about the ratio, here

https://brainly.com/question/12024093

#SPJ2

anyone know the answer??

Answers

Answer

[tex]3.5 x 10^{3}[/tex]

Step-by-step explanation

PLEASE HELP (PICTURE INCLUDED)

Which triangle is a 30°-60°-90° triangle?



25 POINTS

Answers

I think it’s all the triangles. Because it looks like they all apply to this.

Giving 5 stars and brainlist to whoever answers this correct!!!!
The table shows the number of animals in the most popular exhibit at the zoo.

Flamingo - 12
Crocodile - 4
Elephants - 3
Monkeys - 11

If an animal is selected at random to be fed in front of an audience, which expression can be used to determine the probability the animal will NOT be an elephant?

A. 1/10
B. 9/10
C. 3/10
D. 3/3

Answers

Answer:

its A because it can't be B or D obviously, and since there are the least amount of elephants, its gonna be the one will less of a percentage. So its A.

Step-by-step explanation:

jabsbabsbavvsbabs

Solve the following word problem using two variables. Show each step of your work.

John is five years older than Maya. The sum of their ages is 27. Find both ages.

Answers

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16

If x and y vary directly, and x 60 when
y= 5, what is the value of y when x =36?

Answers

Answer:

-19

Step-by-step explanation:

36 is 24 less than 60 so that means they subtracted to get 36 so subtract 24 from five and boom -19

Can you please help me please I really need help

Answers

Answer:

(look below)

Step-by-step explanation:

i used to do ixl so heres an appropriate answer:

1    21

3   63

5   105

7    147

:3

¡Please answer!
¿What is a circle?.​

Answers

Answer:

A circle is a shape.

Step-by-step explanation:

In geometry circles are known for you to solve the radius wit the formula      A= π r^2

A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

HELP!!!Will Give Brainliest to correct answer!!! 40 POINTS!!!

Answers

115
Take the total number of items and decide that by the ratio (that will get you one) then multiply by how much you need

Answer:

115

Step-by-step explanation:

The person above is right your ratio is the key to divide all the sizes.

f0ll0w my t!k t0k -at-aoniys

Answers

Okay diakkdjwkdkdjjs

-8 - 4 = -2 + n - 6 - 8n please I need the answer

Answers

N = 4/7 or N = 0.571428

if you increase an amount by 3 percent what is the single multiplyer

Answers

1.03 should be the answer

Answer:

1.03% is the answer

Step-by-step explanation:



Team Damon or team Stefan Or team Kai I’m team ✨Damon✨and ✨Kai✨all the way

Answers

Damon, Kai and klaus
I am team Damon and Kai

00:00
Which of the following represents the lowest speed in miles per hour?
O A
6 miles in
hour
S
O
B.
11 miles in
hour
C.
16 miles in
3 을
hour
о
20 miles in
hour
19

Answers

Answer:

a

Step-by-step explanation:

120 kg in the ratio 3:2

Answers

Answer:

72:48

Step-by-step explanation:

180....................

use the quotient rule to find the derrivatives of 3/x^2​

Answers

Answer:

f'(x) = -6/x³

Step-by-step explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³

Please help me if you can.​

Answers

Answer:

Step-by-step explanation:

DEFINITIONS

Standard Form: a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Monomial: a polynomial which has only one term.

Binomial: a polynomial that is the sum of two terms, each of which is a monomial.

EXAMPLES

Standard Form: 2x+3y=5 (Ax + By = C)

Monomial: 2x^2, 4y, etc.

Binomial: 3x + 5

Evaluate the expression, if x = 6, y = 8, and z = 4. 6x - y N​

Answers

it’s , 7

because you need to reduce the expression if possible by canceling the common factor

7

Step-by-step explanation:

first plug in all your numbers to get

6×6-8

4

then do the multiplication to get

36-8

4

next do you subtraction to get

28

4

last you divide to get

7

7x(42-22) +32 +4
please show work-

Answers

Answer:

140x+36

Step-by-step explanation:

hope this helps :)

Decide if the following equation is growth or decay?
y = 475 (0.256)

Decay
Growth

Answers

growth . when the first number is greater than 1 its growth

a lil help? I'm kinda struggling. ​

Answers

Answer:

5.08 cm would be 2 in and 10 in would be 25.4 cm

Please help I’ll give brainiest! Fill in the missing exponent !

Answers

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

James earns $8.15 per hour that he works. Which algebraic equation shows the
amount of money. E, that James earns in n hours?

Answers

Answer:

e = $8.15n

Although this doesn't require an explanation, I am always open to solve any confusion.

Side Note: I used variable E assuming that the period before 'E' was supposed to be a comma which means it was a given variable.

Answer:

E= 8.15n

Step-by-step explanation:

A 30-60-90 triangle is shown below. Find the Value of X.

Will mark brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1: [tex]\sqrt{3}[/tex] : 2

to find 'x' for the triangle shown, divide the hypotenuse by 2

10/2 = 5

the measure of ∠G is 82°. What is the measure of its compliment?

Answers

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

A university's freshman class has 7600 students. 55% of those students are majoring
in Economics. How many students in the freshman class are Economics majors?

Answers

Answer:

4180

Step-by-step explanation:

55% of 7600 is 4180

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