After 10 years, Hamid's account earned $900 in interest. If the interest rate (in decimal form) is 0.08, how much did Hamid initially invest? Without substitution, solve the formula chosen in the previous step for the unknown variable in terms of the known variable(s).

Answers

Answer 1

Answer:

Hamid initially invested $1,125.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After 10 years, Hamid's account earned $900 in interest.

This means that [tex]t = 10, E = 900[/tex]

Interest rate of 0.08:

This means that [tex]I = 0.08[/tex]

How much did Hamid initially invest?

We have to find P. So

[tex]E = P*I*t[/tex]

[tex]900 = P*0.08*10[/tex]

[tex]P = \frac{900}{0.8}[/tex]

[tex]P = 1125[/tex]

Hamid initially invested $1,125.


Related Questions

What is the value of x in the equation 2x + 3y = 36, when y = 6?

8
9
27
36

Answers

Answer:

x = 9

Step-by-step explanation:

we can plug in the given value for y into the equation to find x

2x + 3y = 36

2x + 3(6) = 36

2x + 18 = 36

2x = 18

x = 9

Answer:

x = 9

Step-by-step explanation:

2x + 3y = 36

Let y=6

2x+3(6) = 36

2x+18 = 36

Subtract 18 from each side

2x+18-18 =36-18

2x = 18

Divide by 2

2x/2 =18/2

x = 9

For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22

Answers

Step-by-step explanation:

6a.

[tex] - 5 = - 3 + a[/tex]

[tex] - 2 = a[/tex]

6b.

[tex]3c + 2 = - 22[/tex]

[tex]3c = - 24[/tex]

[tex]c = - 8[/tex]

Find the 20th term from the last term of the AP 34 , 32 30,.........., 10.​

Answers

Answer:

-30

Step-by-step explanation:

Tn = a1 + (n-1)d = 34 + (-2)(n-1) = 34-2n+2 = 36-2n

hence,

10= 36-2n

2n = 36

n = 13

20 terms from the last term would be 13+20 = 33

T33 = 36-2(33) = -30

Find the multiples of 7 which is greater than 56 but less than 77

Answers

Answer:

63,70

Step-by-step explanation:

7 x 8 = 56

7 x 11 = 77

multiples of 7 and 9, 7 x 10

63 and 70

7×9 = 63

7×10 = 70

Answered by Gauthmath must click thanks and mark brainliest

Find the area of the triangle.
PLEASE HELP ASAP!

Answers

Answer:

D 111.4 cm²

Step-by-step explanation:

Find the vertical asymptotes of the function (x-1)(x-3)^2(x+1)^2/(x-2)(x+2)(x-1)(x+3)​

Answers

Answer:

x=2, x=-2, x=-3

Step-by-step explanation:

-check if anything simplifies

(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)

(x-3)²(x+1)² / (x-2)(x+2)(x+3)

-make the denominator 0 to find the asymptotes

(x-2)(x+2)(x+3) = 0

(x-2) =0 gives x = 2 asymptote

(x+2) =0 gives x= -2 asymptote

(x+3) = 0 gives x=- 3 asymptote

Find the value of x.
A. 31
B. 25
C.5
D. 11

Answers

Answer:

D)  11

Step-by-step explanation:  

Explanation:  

Segment AC is the midsegment of the trapezoid (since A and C are midpoints of DE and FB respectively)  

This means that AC is the average of the two parallel bases EB and DF  

AC = (EB + DF)/2  

x = (9 + 13)/2  

x = 22/2  

x = 11

The value of x is 11.

What is mid point theorem?

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.

In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:

Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,

(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )

This is known as the midpoint theorem formula.

As,  A and C are midpoints of DE and FB respectively

AC = (EB + DF)/2  

x = (9 + 13)/2  

x = 22/2  

x = 11

Learn more about mid point theorem here:

https://brainly.com/question/13677972

#SPJ5

pls solve pllsssssssssss​

Answers

Answer:

Step-by-step explanation:

This is the recursive formula for a geometric sequence:
f(1)=8,000
f(n)=1/2(n − 1), for n > 2
What is the fifth term in the sequence?

Answers

Answer:

Step-by-step explanation:

f(1) = 8000

f(2) = 1/2(n - 1)

f(2) = 1/2(2 - 1)

f(2) = 1/2    Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.

Answer:

f(5) = 500

Step-by-step explanation:

Using the recursive rule and f(1) = 8000 , then

f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000

f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000

f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000

f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500

what is the decrease of a right angle pls help i suck at math NVM ITS 90

Answers

Answer: 90 degrees

Step-by-step explanation:

Answer this plz hurry will mark the brainiest!

Answers

Answer:

17.138

Step-by-step explanation:

area of segment = area of minor sector of the circle -area of triangle TSR

NOTE : AM using area of triangle as

1/2absinC

(48/360 ×22/7 ×19 ) - (1/2 × 19 ×19 × sin 48)

= 151.276 - 134.134

= 17.138

Find the total surface area of this square based
pyramid.
10 in
5 in

Answers

Answer:

125in

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

can someone help me with this?

Answers

Answer:

The answer is 660

Step-by-step explanation:

30×2200÷100= 660

Answer:

660

Step-by-step explanation:

to know 30%

2200÷10×3=660

Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
Х
40
32
N
24
Y
Tan Z

Answers

Answer:

tan Z = 4/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta= opp / adj

tan Z = 32/24

Divide top and bottom by 8

tan Z = 4/3

please answer this question!!​

Answers

Answer:

a

Step-by-step explanation:

all angles of an equilaterall triangle are equal therefore 180÷3 = 60

4. If 8 out of 25 snacks are healthy, how many healthy snacks will there be per 100 snacks total?​

Answers

Answer:

32 of them would be unhealthy. this is because 25 times 4 equils 100, so 8 times 4 equils 32.

Answer:

32 healthy snacks

Step-by-step explanation:

-set up an equivalent fraction to keep the same proportion

8 healthy / 25 snacks = ? healthy / 100 snacks

-solve for ? healthy

8/25 = ?/100, cross multiply

25 * ? = 8*100 , divide both sides by 25

? = 800/25 = 32 healthy snacks

* you can also think that 100 is 25 four times,

so the healthy snacks are 8*4 =32

Find the value of the variable (x) to the nearest tenth.

Answers

Answer:

I think its ten

Step-by-step explanation:

(1)
A piece of wire is bent to form a square of area 121 cm?
Calculate:
a)
The length of each side of the square
b)
The perimeter of the square

Answers

Step-by-step explanation:

that is really a problem ?

come on !

you know, the area of a square is side length × side length = length²

that is basically all of us learn as the very first thing when we are learning about squaring and multiplication.

how do we get the regular side length out of length² ?

we pull the square root. you have a calculator (at least on your computer, cell phone,...).

sqrt(121) = .... .... .... 11 ! tada !

and the perimeter of a square ... you really have to ask ?

it is the way all around the whole square. you need to go along every one of the 4 sides.

so, it is side length × 4 = 11×4 = 44 cm

again - you really needed help with THAT ?

Relaciona la columna de la izquierda con los elementos asociados al polígono
a) centro
b) lado
c) vértice
d) ángulo interno
e) radio
f) ángulo central
g) apotema
h) ángulo exterior

Answers

Answer:

i dont know

Step-by-step explanation:

bu bu bu

hi pls help. pls explain a bit thank you:)

Answers

The solution is shown in pic

Answer:

beby sing of lain ting is day lrk jih

Kay must re-carpet her circular den. If the diameter of the
den is 6 yards, what is the total square yardage of carpet
that is needed?

Answers

Answer:

28.26² yards

Step-by-step explanation:

Diameter is 6.

Radius=Diameter/2. r=6/2

Area=Pi*Radius²

I'll just use 3.14 for pi

Area=3.14*3²

3²=9 3.14*9=28.26

so the answer 28.26²

2. Find F(x)+g(x)
4 options to pick from

Answers

Answer:

first option

3x³ - 6x - 4

HOPE IT HELPS YOU

THANK YOU

A fundraiser was held to split the profits between the 9 baseball players. How much money was raised if each player earned $326? Construct a division equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.

Answers

Answer:

Part 1

The number of baseball players that are to split the profits = 9 baseball payers

The amount of money each player earned = $326

Let x represent the total amount of money raised, and given that each baseball player received equal amount of the profits we have the following division equation;

[tex]The \ division \ equation \ is , \dfrac{x}{9} = \$ \, 326[/tex]

Part 2

Solving for the variable, gives;

x = 9 × $ 326 = $2,934

The amount of profits from the fundraiser, x = $2,934

Part 3

The amount, A, each of the 9 players will earn from the profit of $2,934 raised in the fund raiser is given as follows;

A = $2,934/9 = $326

∴ The amount each of the 9 players will earn, A = $326, therefore the answer corresponds to the value in the question and is therefore, correct

Step-by-step explanation:

Plsss help asap plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

The answer is the last one, (X^2-2)/3!

Step-by-step explanation:

To get the inverse of a function, you switch the variables and solve for y. Doing this produces the last choice.

Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.

Which inequalities can represent this situation if m is the number of songs he can buy? Select two options.
1 + 1.5 m less-than-or-equal-to 25

Answers

Answer:

A, E or 1, 5

Step-by-step explanation:

Its not A, D

sequence of number - 25,23,20,16
find next three term
do with process​

Answers

Answer:

11,5,-2

is the answer. I hope it will help you.

Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

Volume of a cone formula is

[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:

[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us

V = 733 units cubed

Help pleaseeeee like ASAP

Answers

Answer:

m is slope and y is the intercept

HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM

Answers

Answer:

17.6 miles

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 3^2 = c^2

49 + 9 = c^2

c^2 = 58

sqrt rt 58 = 7.6

Perimeter = 7 + 3 + 7.6

Perimeter = 17.6

Therefore, the perimeter is 17.6

Find the coordinates of the midpoint for the pair of points below a) (2,5) , (8,9) b) (9,1) , (5,17)​

Answers

Answer:

a) (5,7) b) (7,9)

Step-by-step explanation:

Use the formula xmidpoint= (x1+x2)/2 ymidpoint= (y1+y2)/2

a) xm= (2+8)/2=5

ym=(5+9)/2=7

b) xm=(9+5)/2=7

   ym=(1+17)/2=9

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