Samuel invested money in his bank account. He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, r, of 0.15 per year. At the end of the period, he had interest, I, of $105 in his account. Use the simple interest formula I = Prt, to solve for the time, t, in months that it took to earn this amount.

Answers

Answer 1

Hey there! I'm happy to help!

Let's see what we have for each variable.

I = 105

P = 100

r = 0.15

Now, let's plug it in and solve for our t (time)

105=100(0.15)(t)

Swap sides so t is on the left.

100(0.15)(t)=105

Divide both sides by 100.

0.15t=1.05

Divide both sides by 0.15

t=700

So, we see that it takes 700 months to earn this amount.

Have a wonderful day and keep on learning! :D

Answer 2

The number of months that it took to earn this amount will be 84 months.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest in percentage, and T is the time.

Samuel invested money in his bank account.

He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, R, of 0.15 per year.

At the end of the period, he had interest, I, of $105 in his account.

105 = 100 x 0.15 x t

t = 1.05 / 0.15

t = 7 years

The number of months that it took to earn this amount will be

⇒ 7 x 12

⇒ 84 months

The number of months that it took to earn this amount will be 84 months.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2


Related Questions

Hey guys I need help in these. Thanks in advance^^
1) In which operations does the order of the numbers make a difference to the
final answer? Find out what this rule is called.
2) If evaluating the sum 2+3+4 does it make a difference which two numbers !
add first? Is the same true for the other operations? What's this rule called?

Answers

Answer:

Read explanation

Step-by-step explanation:

The two operations that you will get the same answer for no matter what order you do it is addition and multiplication.

Bonus: Technically, if you had something like 1-2-3 you could rewrite it as 1 + (-2) + (-3) and now it won't matter the order and for something like 1/2/3 you could rewrite as 1 * (1/2) * (1/3) and not it wont matter the order too!

This propetie is called the associative property of addition and multiplication.

In the second question since its addition the order you do it in does not matter.

Why: If you think of it logically adding in a diffrent order than the question does not matter since in the end your still adding the same ammount.

Remember: You can only swap the orders if everything is addition or multiplication and remember your order of operations when using this propety in the years to come.

Hoped this helped, Eddie K.W.

A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.

Answers

Answer:

95kg

Step-by-step explanation:

Mass÷Volume=Density

Therefore, Mass = Volume × Density

Mass = 1500 × 95

Mass = 95,000g

Since we were asked to find the mass in kg:

1000g = 1kg

Therefore, 95,000g = 95kg

Is -√15 irrational or rational

Answers

Answer: it is irrational.

Explanation:

Square root that are not perfect square are considered irrational as sqrt(15) isn’t a perfect square thus it’s irrational.

write three hundred and ninety six million two hundred and forty two thousand and two as a numeral

Answers

Answer:

Below.

Step-by-step explanation:

396,242,002

Can someone help me pls ASAP

Answers

It’s 1+5+11+3= 20 and that’s the answer of the number

Someone plz help giving brainliest

Answers

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits

Answers

Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2

Answers

Answer:

[tex]a)x < - \frac{2}{5} [/tex]

[tex]b)4 < - 2[/tex]

Step-by-step explanation:

[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]

[tex] = 4x + x + 4 < 2[/tex]

[tex] = 5x + 4 < 2[/tex]

[tex] = 5x < 2 - 4[/tex]

[tex] = 5x < - 2[/tex]

[tex] = x < - \frac{2}{5} [/tex]

[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]

[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]

[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]

[tex] = 4 < - 2[/tex]

= X

What is the solution to this system of equations?

( __ , __ )

Answers

Answer:

x = 5

y = 3

(5,3)

Step-by-step explanation:

use substitution...

4x -3(2x-7) = 11

-2x + 21 = 11

x = 5

y = 3

Find the distance between the points, A (-2, -3) and B (10, -2).

Answers

A. 13 units is the answer.

Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?

Answers

ok so first of get his number!!!! then i think you should talk and you know get to know each other. then you should play truth or dare and if he says truth, ask him who he likes!! that’s a pretty good way to figure it out. also if you want i suggest being straight up to him and saying hey i like you. i hope this helps!! :))

Answer:

girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.

Step-by-step explanation:

What is the length of AC

Answers

Answer:

24 is the answer. Hope it helps you! Stay blessed.

5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?

Answers

So the total amount before income taxes and FICA is 250$.

First, you find the amount after income tax which you can do by....

250$- 250$(5.65%)= 235.875= 235.87

or

250$(100%-5.65%)= 250$(94.35%)= 235.875=235.87$


Then apply the FICA
235.875$(100%-7.65%)= 217.83$

Net pay: 217.83$


48 ounces of liquid detergent
for $6.19. Find the unit rate

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Around 13 cents.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\rightarrow \frac{dollars}{ounces}= \frac{6.19}{48}=\frac{6.19/48}{48/48}=0.128958... \approx \$0.13[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Please help!
Please do not just give the answer, also explain please because I need to know how to do this.

Find the value of X ​

Answers

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

Write down the formula of calculating the average of the individual data

Answers

When calculating the average of individual data, you set of all observations of a given characteristic, usually in ascending order. The arithmetic mean for this series is calculated by summing the values of the observations and dividing the result by the number of observations.
Hope this helps, please give me brainliest
a1+an/2 is the formula for calculating the average

what is -2 1/3 - 1 1/2 =

Answers

Step-by-step explanation:

[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]

[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]

[tex] \frac{ - 42 - 33}{6} [/tex]

[tex] \frac{ - 75}{6} [/tex]

[tex]12.5[/tex]

I hope this will help you...please mark my answer as BRAINLIEST..,....

f(x)=x^2-6x
g(x)= √x
Evaluate f(g(25)) = ???

Answers

Answer:

f(g(25)) = -5

Step-by-step explanation:

You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:

g(5) = √25 = 5

f(5) = 5^2 -6•5

f(5) = 25 -30

f(5) = -5

simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you​

Answers

Answer:

[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]

Step-by-step explanation:

Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].

PLEASE HELP!!! I will give you brainliest!

Answers

Answer:

6

Step-by-step explanation:

The range of the middle 50% is the right side of the box subtracting the left side of the box

14-8

6

(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)

Answers

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105

the answer is 105. you ignore the ‘+’ and just solve it as 219-114. please mark brainliest!!

A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?

Answers

He orders 12 small shirts, 18 large shirts

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease

Answers

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?

Answers

Answer:

10

Step-by-step explanation:

Distance=800kmTime=10h

[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]

[tex]\\ \rm\longmapsto Speed=80km/h[/tex]

Time=14h

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=80(14)[/tex]

[tex]\\ \rm\longmapsto Distance=1120km[/tex]

2. Write each of these expressions in the form (+)!+, where and are constants.
a)6!+12−3
b)−18+3!+4

Answers

Step-by-step explanation:

a)6!+12-3

=6!+9

b)-18+3!+4

=3!-14

=3!+(-14)

both are in the form if (+)!+constant.

Note:if you need to know any question about it please let me know.

An image point has coordinates B'(7,-4). Find the coordinates of its pre-image if the translation used was
(x + 4, y + 5).
B 3.1
B[3.-9)
B|11,-9)
B/11, 1)

Answers

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

Hello! I’ll take any help !!

Answers

Answer:

√73

Step-by-step explanation:

a^2+b^2=c^2

8^2+3^2=c^2

64+9=c^2

√73 =√c^2

√73 =c

The largest moth is the Atlas moth. The Atlas moth is
11.8 inches long Which of the following is the lenghth
of the Atlas moth written as a mixed number

Answers

11.8 to a mixed number is 11 8/10 or 11 4/5.

12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6

Answers

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 triangles

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

Read more about conjectures at:

https://brainly.com/question/15947300

Solve for 4 - (x + 2) < -3 ( x + 4 )
( 9th grade Algebra 1)

Answers

Answer:A. x < -7Hope this helps!! <3(i took this class, i know its correct) :)

Other Questions
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