The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer 1

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV[tex](1+r)^{nm}[/tex]

                     = 675[tex](1+0.06)^{(2*2)}[/tex]

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.


Related Questions

loget + loge 3 = loge (x + 1)
OA. c=

○ B. I = !
OC.x = 1
OD. t= = 를

Answers

B. I = ! Because the logic’s and quantities that’s adds and makes b the main number

Can you please help
Plzzzzzz

Answers

a fraction is a numerator over a denominator
a mixed number is a whole number and a fraction
an improper fraction is when the numerator is greater than the denominator

Which represents a side length of a square that has an area of 288 square inches?

Answers

Answer:

D

Step-by-step explanation:

Answer:

72 in

Step-by-step explanation:

a square has 4 sides so you divide 288 by 4 and get 72

When a number is decreased by 4%, the result is 66. What is the original number to the nearest tenth?

Answers

Answer:

68.8

Step-by-step explanation:

100% = x number

96% = 66

so 100%

= 68.75

to the nearest tenth is 68.8

The dimensions of the rectangular patio in her sketch are:
The width is 4 centimeters.
The length is 7 centimeters.

Answers

Answer:

28 centimeters

Step-by-step explanation:

multiplying the two digits

Answer:

Area: 28

Perimeter: 22

Step-by-step explanation:

38 boys and 22 girls visit a zoo
33 of these children have a voucher
Twice as many boys as girls do not have a voucher

Complete the frequency tree

Answers

The frequency tree will be 9 girls and 18 boys don't have a voucher.

How to calculate the value?

Boys = 38

Girls = 22

Total = 60

Children who have a voucher = 33

Children who don't have a voucher = 60-33 = 27

Twice as many boys as girls do not have a voucher

Girls who don't have a voucher: x

Boys who don't have a voucher: 2x

Girls without voucher + boys without voucher: x + 2x = 27

3x = 27

x = 27/3

x = 9

Girls who don't have a voucher: x=9

Boys who don't have a voucher: 2x = 2(9) = 18

For frequency tree:

Total students: 60

Boys : 38

Boys who don't have a voucher : 18

Boys who have a voucher: 38 - 18 = 20

Girls: 22

Girls who don't have a voucher: 9

Girls who have a voucher: 22 - 9 = 13

Learn more about frequency tree on:

https://brainly.com/question/27989935

#SPJ1

!please need help ASAP! 2) Find the slope between the two points (-5, 8) and (2, 22)

Answers

Answer:

if this is in a graph, this means that the answer would be 2

Step-by-step explanation:

Thanks for the Help, i love you guys

Answers

Answer:

b i think

Step-by-step explanation:

Proportional means
Check ALL that apply.
*
same
equal
different
other

Answers

Answer:

promotional means same

hope it may help if it so please mark as brienlist

Devide : 72x2y2z by - 12 xyz​

Answers

Answer:

[tex] \frac{72 x 2y2z}{12xyz} \\ = 6xyz[/tex]

6.12 x 10^4 ? 612,000

Answers

no it equals to 61,200

jim drives 350 miles in 5 hours hopw long does he drive in 1 hour

Answers

70 miles cuz 350 divided by 5 equals 70

The sum of three numbers is 41.
The second number is 5 times the first.
The third number is 14 less than the second.
What is the third number?

Answers

Answer:

look below

Step-by-step explanation:

a = the 1 st# b = 2nd # c= 3rd #

a+b+c=41

b=5a

c=14-b

plug in one of those values

a+b+14-b=41

a+14=41

-14

a=27

plug in the "a" value

Evaluate each using the values given.

1. 6c(a+a+a); use a=1, and c=3

Answers

Answer:

54

Step-by-step explanation:

6c(3a)

c = 3

a = 1

6*3(3(1) )

6 * 9

54

What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 12?
Y=_x+_

Answers

Answer:

y= 12x -43

Step-by-step explanation:

y-5 = 12(x-4)

y-5= 12x-48

+5          +5

y= 12x- 43

Hi could somebody please help me answer this question? Thank youuu

Answers

Given:

[tex]\ln(y-8)=-2x+\ln C[/tex]

To find:

y as a function of x.

Solution:

We have,

[tex]\ln(y-8)=-2x+\ln C[/tex]

It can be written as

[tex]\ln(y-8)=\ln e^{-2x}+\ln C[/tex]           [tex][\because \ln e^x=x][/tex]

[tex]\ln(y-8)=\ln (Ce^{-2x})[/tex]           [tex][\because \ln (ab)=\ln a+\ln b][/tex]

On comparing both sides, we get

[tex]y-8=Ce^{-2x}[/tex]

Adding 8 on both sides, we get

[tex]y=Ce^{-2x}+8[/tex]

Therefore, the equation function is [tex]y=Ce^{-2x}+8[/tex].

If there are 24 apples and 32 bananas for a fruit basket, fill out all of the possible ratios of apples to bananas that could be made.

Answers

Answer:

1) 24:32

2) 12:16

3) 6:8

4) 3:4

*Explanation:*

1) Just what the text said

2) 24 and 32 get divided by 2

3) 24 and 32 get divided by 4

4) 24 and 32 get divided by 8

Help me please I need an answer asap
Which of the following statements would best represent the value of a? PLEASE HELP

Answers

Answer:

c option

Step-by-step explanation:

please mark me brainliest and 5 star


A business building has several office spaces for rent. Each
office is in the shape of a right triangle. If one side of the
office is 11 feet long and the longest side is 15 feet long,
what is the length of the other side?

Answers

Answer:

104

Step-by-step explanation:

Because the square root of 104 is 10.433

Answer:

104

Step-by-step explanation:

4/9=x/36 show the steps and i will give brainliest

Answers

Answer:

x = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

4/9 = x/36

Step 2: Solve for x

Cross multiply:                    144 = 9xIsolate x:                              16 = xRewrite:                               x = 16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4/9 = 16/36Simplify:                               4/9 = 4/9

Here we see that 4/9 does indeed equal 4/9.

∴ x = 16 is the solution to the equation.

Multiply.

(−2/3)(5/4)

Enter your answer as a fraction thats in simplest form.

Answers

Answer:

(-2/3) (5/4) = -5/6

Answer:

Step-by-step explanation:

(-2/3) x (5/4) =

multiply the numerators together, then multiply then denominators together (as normal) to get:

-10/12

then simplify to:

-5/6

hope that helps :)

Mary says that -5 x 2 = -3. Explain the mistake Mary made and write the correct number sentence including the correct answer.

Answers

Answer:

it should be -10

Step-by-step explanation:

5 x 2 is 10 but you add the negative. Mary added instead of multiplied.

Answer:just report it or sumthing

Step-by-step explanation:

5/109 in the simplest form?

Answers

Answer:

That is the simplest form.

Step-by-step explanation:

5/109 cannot be reduced any farther.

What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!! *will ofc give brainliest*

Answers

Answer:  Choice B.  k(h(g(f(x))))

For choice B, the functions are k, h, g, f going from left to right.

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

Explanation:

We have 4x involved, so we'll need f(x)

This 4x term is inside a cubic, so we'll need g(x) as well.

So far we have

g(x) = x^3

g( f(x) ) = ( f(x) )^3

g( f(x) ) = ( 4x )^3

Then note how we are dividing that result by 2. That's the same as applying the h(x) function

[tex]h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\[/tex]

And finally, we subtract 1 from this, but that's the same as using k(x)

[tex]k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\[/tex]

This leads to the answer choice B.

To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.

Find the missing term: 1, 1.5, x, 2.5, 3,

Answers

Answer:

x=2

Step-by-step explanation:

Counting by 0.5 pattern

Help!! Now that you found the cost of the meal with tax. Now they want to leave a
15% tip on the total bill AFTER tax. How much money will they pay for their
dinner with tax and tip? *

Answers

Answer:

92*.15=13.8   Add the $13.8 to the $92 and you get $105.8

Step-by-step explanation:

5 divide 15x 15squared

Answers

Answer:

75

Step-by-step explanation:

(5 /15) x (15 squared = 75

order the decimal from least to greatest 6.38,6.4,6.325,6.42

Answers

6.325,6.38,6.4,6.42. When the value on the left side is all the same u can just look at the right values alone. U can change .38 to .380 and compare it with .325. We see that .325 is smaller than .38.

Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the
same test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?
O Yes, a grade of 87 is higher than a grade of 73.
O Yes, the study was done in an academic setting.
O No, the experiment was not double-blind.
No, there was no use of a placebo in the experiment.
O No, there may be other differences between the two years besides the grades.

Answers

Answer:

Yes

Step-by-step explanation:

87 is higher than 73

E. No, there may be other differences between the two years besides the grades.

For your question: "Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the

same test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?"

The answer would be E

The area of a square backyard is
400 square meters. What is the
length of each side of the
backyard?

Answers

Answer:

100 meters

Step-by-step explanation:

Since the backyard is a square, each side is the same length and there are 4 sides. So, 400÷4=100

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