Alec invested $1500 in an account with annually compounded interest. The account earns 4% annual interest. How much will Alec have in his account after 4 years?

Answers

Answer 1

Answer:

He will have $1,754.79 in his account after 4 years

Step-by-step explanation:

We can use the compound interest formula to find how much money he will have after 4 years:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] ;

where

A= final amount

P= initial amount

r= interest rate

n= number of times interest applied per time period

t= number of time periods elapsed,

so from the given information, we know that 1500 is our initial amount, so P= 1500.

Annual interest means once a year, so n= 1, and the interest rate is 4%, so r= 4% or 0.04

and we are asked to find the amount in his account after 4 years, so t= 4

Now, all we need to do is plug in these values for each of the variables and solve.

[tex]A= 1500(1+\frac{0.04}{1} )^{(1)(4)}[/tex]

and we get

A= $1,754.79


Related Questions

Meadow Academy's spring festival is coming up, and Ms. Rivera is in charge of ordering the butterfly kits again. She knows she ordered 6 cases of butterfly kits last year but can't remember how many kits come in a case. When she checks the records, Ms. Rivera finds that the school used 417 of the butterfly kits last year and had 63 left over after the festival. How many butterfly kits come in each case? ​

Answers

Answer:

Step-by-step explanation:

its 80 i just did the question

Each case contains 80 butterfly kits.

What is unitary method ?

Unitary method is a mathematical technique for finding the value of a single unit and then deriving the given unit by multiplying with it.

According to the given question Ms. Rivera ordered 6 cases of butterfly kits last year out of which the school used 417 of the butterfly kits and had 63 left over after the festival.

So, the total no. of butterfly kits is (417+63) = 480 kits and it was contained in 6 boxes.

∴ The no. of butterfly kits in each case is 480/6 which is

= 80 butterfly kits.

learn more about unitary method here :

https://brainly.com/question/23423168

#SPJ2

Pls help i neeed to get my grade up badly

Answers

Step-by-step explanation:

12 - 1/2r = ( 13 - 3/2r ) - ( 1 - r )

r - 13/6 = ( 7r - 3/2 ) - ( 2/3 + 6r )

13r + 20 = ( 6r + 7 ) + ( 13 + 7r )

-12 + r = ( -8 - r ) + ( 2r - 4 )

For what value(s) of k is + 3 a factor of 3 + 5 2 + − 9
FAST FASTTTT

Answers

Answer:

56

Step-by-step explanation:

56 would be ya answer

shirt original price is $100 and is now 50% off what is the discount price now​

Answers

Answer:

$50.00 is the discount price

Examine the figure. What is the measure of angle b?

Answers

B = 180-31

B = 149

Answer: 149

Good night, can someone please help me?

Answers

I Think Operation A is write

Simple interest ending balance $41,900 at 4% for 2 years?

Answers

Answer:

The simple interest is $3352.

Step-by-step explanation:

Using PRT/100, we can find the interest.

=> 41,900 x 4 x 2/100 => 419 x 4 x 2=> $3352Conclusion:

Therefore, the simple interest is $3352.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Question
Which of the following angle measures are possible for a triangle to be classified as acute? Select all that apply.
Select all that apply:
45°, 34", 101°
122, 36, 22
75°, 61°, 44°
22°, 86°, 72

Answers

Answer:

45°, 75°, 61°, 44°, 22°, 86°

Step-by-step explanation:

They have to be angles less than 90°.

Answer:

  (c)  75°, 61°, 44°

  (d)  22°, 86°, 72

Step-by-step explanation:

The largest angle must be less than 90°, and the sum of angles must be 180°. These conditions are met by the lists of angles shown above.

122 is what percent of 145?

Answers

Answer:

84.1379%

Step-by-step explanation:

122 / 145 = 0.841379

(0.841379)(100) = 84.1379%

If answer is correct I will mark as brainliest.
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

5x^3+x^2-7x+28=0

A. Zero

B. Two or Zero

C. One

D. Three or one​

Answers

Answer:

No positive real solutions.So the answer is zero.

Step-by-step explanation:

please explain how to do this. tried to solve but cant do it

Answers

Answer:

2.55km

Step-by-step explanation:

[tex]d=st[/tex]

where:

   d=distance

   s=speed

   t=time

[tex]s=\frac{3.4 \ \text{km}}{\text{hr}}\\[/tex]

[tex]t=0.75 \text{hr}[/tex]

[tex]d=st=(\frac{3.4 \text{km}}{\text{hr}})(0.75 \text{hr}})=2.55 \text{km}\\[/tex]

Answer:

[tex]3\frac{2}{5}[/tex] × [tex]\frac{3}{4}[/tex] [tex]= 2\frac{11}{20}[/tex] km

         = 2.55 km

What is the length of CB in ABC

Answers

There needs to be values to answer the question.

5. Find cos theta if sin theta= -12/13
and tan theta > 0. (6 points)

Answers

[tex]\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}[/tex]

Tracy bought a can of yellow paint to use on the table and chairs in her backyard. She used 1.25 liters of paint on the chairs. She has less than 3 liters of paint left for the table.

Answers

The inequality that describes the given problem is x - 1.25 < 3.

The given parameters:

Number of paints used on the chair, = 1.25 LitersNumber of paints left for the table, less than 3 liters

Let the number of liters in one can of yellow paint = x

The following inequality can be used to represent the liters of paint left for the table.

the liters of paint left = x - 1.25

The liters of paint left is less than 3 liters;

x - 1.25 < 3

Thus, the inequality that describes the given problem is x - 1.25 < 3.

The missing part of the question is below:

Write the inequality that describes the given problem

Learn more about word problem of inequality: https://brainly.com/question/1194852

Find the center and radius of the circle with the equation: (x=5)2 +(4-2)3-25

Answers

Answer:

center = (5 ,-3) and radius = 5

Step-by-step explanation:

Kelly base 3328 cookies each year she bakes twice as many cookies in October then in the other much how many cookies does Kelly back in December

Answers

256 Cookies
There are 12 months and twice the amount of cookies in one month is equal to an extra month. So do 3328/13=256.

84/120 equivalent fraction

Answers

Answer:

7/10

this should work

Step-by-step explanation:

Can somebody pls solve this equation my brain hurts.

Answers

The answer is C and D

Because when a negative value is be multiplied by a positive value the solution will be negative

Hope this helps!
Brainliest is much appreciated!

During a chess match there are 15 pieces left on the board. the ratio of the white pieces to black pieces is 3 : 2 how many white pieces are on the white board?

Answers

Answer:   9

==========================================================

Explanation:

The ratio 3:2 scales up to 3x:2x for some positive whole number x.

We have 3x white pieces, 2x black pieces, and 3x+2x = 5x pieces total. Set this equal to the 15 mentioned and solve for x.

5x = 15

5x/5 = 15/5

x = 3

Therefore, there are 3x = 3*3 = 9 white pieces and 2x = 2*3 = 6 black pieces, which gives 9+6 = 15 total. The ratio 9:6 reduces to 3:2 after dividing both parts by the GCF 3.

II
Homework: Secti...
Question 2, 7.1.5
>
Find the critical value Za/2 that corresponds to the given confidence level.
95%
.....
za/2
(Round to two decimal places as needed.)
(

Answers

Answer:

2.17

Answer and Explanation:

The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...

the difference of 3 times a number and 18 is 39 what is the number

Answers

The answer is 13 because if you divide 39 by 3 you will get your answer.

Answer: 39

(3*(19))-18 = 39

57-18 = 39 we have the correct answer

Find the circumference of a circle with a radius of 8 mm.​

Answers

Answer:

C=50.27mm

Step-by-step explanation:

C=2πr=2·π·8≈50.26548mm

pls answer pls plsplspls pls ​

Answers

πr²/2

22×7×7/7×2

77cm²

πr²/2×2

πr²

22/7×3.5×3.5

38.5cm²

77-38.5=38.5cm²

Express your answer in scientific notation. PLS HELP

Answers

10^2=100
3600-6.3-100= 3493.7

hope this helps!

Which function has a greater rate of change?

Answers

Answer:

Function A

Step-by-step explanation:

In function A as x increases by 1, y increases by 5.

In function B there is a slope of -4.5 which means as x increases by 1, y increases by -4.5.

Rate of change of 5 is greater than a rate of change of -4.5.

Help help math math

Answers

Answer:

There are 24 different combinations.

Step-by-step explanation:

2x4x3= 24

HELP
In \triangle JKL,△JKL, \angle J \cong \angle L,∠J≅∠L, LJ = 17LJ=17 and KL = 10KL=10. Find the length of JK.JK.

Answers

It's a isosceles right angled triangle

LJ=17KL=10

[tex]\\ \sf{:}\Rrightarrow JK^2=17^2+10^2[/tex]

[tex]\\ \sf{:}\Rrightarrow JK^2=289+100[/tex]

[tex]\\ \sf{:}\Rrightarrow JK^2=389[/tex]

[tex]\\ \sf{:}\Rrightarrow JK=19.72[/tex]

Solve for x; x: 6 = 54: 162 A. 1 B. 2 C. 3 D. 4
find x​

Answers

Answer:

x = 2

Step-by-step explanation:

x:6 = 54:162

What is 54 to 162?

162/54 = 3.

So x times 3 should equal 6.

6/3 = 2.

x = 2

Let's confirm,

2:6 = 54:162

:)

Answer:

8 - 10

8 + 10

Step-by-step explanation:

edmentum/plato

Help pleasee :(
no links.

Answers

-2/12 is a
-0.1 is b
1/9 is c

Hope you find this helpful!
Brainliest and a like is much appreciated!

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

There ya go

Step-by-step explanation:

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