If $5000 is invested at a rate of 3% interest compounded
quarterly, what is the value of the investment in 5 years?
(Use the formula A = P (1 + )", where A is the amount
accrued, P is the principal, r is the interest rate, n is the
number of times per year the money is compounded, and t
is the length of time, in years.)

Answer: A.

Step-by-step explanation:

The correct answer is A.

Answer:

20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] ( 5 x³ [tex]y^{4}[/tex] )( 8 x y² ) = 20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]

Triangular prism has 4 sides, including the base. The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Lateral area of the considered triangular prism is the sum of areas of the triangles it is made up from except that of the base triangle.

The lateral area of a right prism which is regular (all lateral sides congruent) is given by:

[tex]A_L = P \times h[/tex]

where, P = Perimeter of the base

h = height of that prism

For the given case, we have the base of the triangular prism of side length x units.

Thus, perimeter of the base = x + x + x = 3x

Height of the base = h = 4 times x = 4x

Thus, we get:

Lateral area of the prism = [tex]3x \times 4x = 12x^2 \: \rm inch^2[/tex]

Thus, The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Learn more about lateral surface area of a prism here:

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Awnser:

B: 12x (2) <----- (squared) square inches

Step-by-step explanation:

edge 2023

Answer:

Question 8:

2(12x+9y)

Question 9:

2(x+3)+2

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

2. Perpendicular lines form right angles.

3. A right angle has a measure of 90 degrees.

4. Angle addition postulate

5. Angles that add to form a right angle have a measure of 90 degrees.

7. Congruent angles have equal measure.

8. Substitution

9. Angles with measures that add to 90 deg are complementary.

Answer:

Subtract 40 from both sides.

Full process:

4(n + 10) = 34

4n + 40 = 34

4n = -6

n = 1.5

Answer:

The answer is :

the second one ( [tex]y=log{3} x[/tex] )

Answer:

11/12

Step-by-step explanation:

the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol

Answer:

0.002635 In 1 decimal place

Step-by-step explanation:

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Ellis bought total 24 soda cans but in packs

Each pack contain 6 cans

Therefore,

Total packs bought by Ellis

[tex]\sf{ = }{\sf{\dfrac{ 24}{6}}}[/tex]

[tex]\sf{ = 4 \: packs }[/tex]

Ellis bought 4 packs of soda cans

So,

Total cost paid by the Ellis

[tex]\sf{ = 4 {\times}{\pounds} 1.80 }[/tex]

[tex]\sf{ = {\pounds}7.20 }[/tex]

Thus, The total cost paid by Ellis is £7.2

Connor also bought 24 cans of soda but in packs

Each pack contain 8 soda cans

Total packs bought by Connor

[tex]\sf{ = }{\sf{\dfrac{ 24}{8}}}[/tex]

[tex]\sf{ = 3 \: packs }[/tex]

Connor bought 3 packs of soda cans

So,

Total cost paid by the Connor

[tex]\sf{ = 3 {\times}{\pounds}2.10 }[/tex]

[tex]\sf{ = {\pounds}6.30 }[/tex]

Thus, The total cost paid by connor is £6.30

From Above we can conclude that,

That is,

Ellis had to pay more than connor by

[tex]\sf{ = 7.20 - 6.30 }[/tex]

[tex]\sf{ = {\pounds}0.90}[/tex]

Hence, Ellis paid more than connor by £0.90.

Answer:

(5,2) is the correct and

Answer:

i think your answer is C

Step-by-step explanation:

Answer:

Y= 20

Z = 20

Step-by-step explanation:

Y:

cos(∠BAC) = [tex]\frac{AC}{AB}[/tex]

cos(45°) = [tex]\frac{y}{20\sqrt{2}}[/tex]

Y= 20

Z:

sin(∠BAC) = [tex]\frac{BC}{AB}[/tex]

sin(45°) = [tex]\frac{z}{20\sqrt{2}}[/tex]

z = 20

Answer:

[tex]3x^4+4x^3+8x[/tex]

Step-by-step explanation:

[tex](x^2+2x)(3x^2-2x+4)\\\\(x^2)(3x^2)+(x^2)(-2x)+(x^2)(4)+(2x)(3x^2)+(2x)(-2x)+(2x)(4)\\\\3x^4-2x^3+4x^2+6x^3-4x^2+8x\\\\3x^4+4x^3+8x[/tex]

We have that what the bank account hold in 2017  is mathematically given as

T=179.986

Simple interest is a simple way of forecasting and having a view of futuristic values.

Question Parameters:

An account is gaining value at a rate of 4.94% per year.

The account held $113 in 2005.

What will the bank account hold in 2017?

Generally the equation for Simple interest   is mathematically given as

S=(P*R*T)/(100)

Therefore

S=(113*4.94*12)/(100)

S=$66.986

Therefore

after 12 years

T=113+66.986

T=179.986

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The number of basket Kathy will make out of 60 tries is 23 basket.

She keeps track of the number of basket she makes while practicing her free throw shots.  

She makes 7 baskets out of 18 tries.

This is when quantities have the same ratios. Therefore,

18 tries = 7 baskets

60 tries = ?

cross multiply

number of basket = 60 × 7 / 18

number of basket = 420 / 18

number of basket = 23.3333333333

number of basket = 23 basket.

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Answer: approx. 8.33 ounces

Step-by-step explanation: you are splitting 25 ounces between 3 people when we do 25 / 3. The decimal would continue at eight point three repeated. To round to the nearest hundredth the answer is 8.33 See picture.

Answer:

It would be like each get like a cup and a half

Step-by-step explanation:

Answer:

7/8 > 3/4

Step-by-step explanation:

Make the denominators of both fractions the same by mulitplying the numerator (top number) and denominator (bottom number) of the fraction 3/4 by 2:

(3 x 2) / (4 x 2) = 6/8

Now compare 6/8 with 7/8 (the number line is divided into 8 equal parts. Shade 6 and then shade 7.  which is bigger?)

7/8 > 6/8

Therefore, 7/8 > 3/4

Answer:

7/8 > 3/4

Step-by-step explanation:

hope this help

                                                XD

Answer:

try negative -4 it might be the answer

Answer:

the rate of change is for x it would be 2 and for y it would be 4.

Step-by-step explanation:

Answer:

an=−5+7n

Step-by-step explanation:

I took the same quiz, there is a screenshot provided with the correct answer.

Answer:

2/3

Step-by-step explanation:

2/3 = 4/6

Is 4/6 bigger than 3/6?

Yes.

2/3 is bigger than 3/6.

And also, if you convert 2 of the fractinos to decimals, 2/3 will be approximately 0.67 and 3/6 will be 0.5.

Is 0.67 bigger than 0.5?

Yes.

2/3 is greater than 3/6

The numbers are given as:

3/6 and 2/3

Express both numbers as decimals to two decimal places

0.50 and 0.67

By comparison, we have:

0.67 is greater than 0.50

This means that:

2/3 is greater than 3/6

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Answer:

where in the world are you-? its 12:04 am-?!

Answer:

B

Step-by-step explanation:

The solution is the point of intersection of the 2 lines

The lines intersect at (- 3, - 4 ), then

f(x) = g(x) has solution x = - 3

Answer:

-12

Step-by-step explanation:

Let x be "the number."  

"Three times a number" means 3x

"is 24 less than the number" means = x-24

Put them togehter:

3x = x-24

2x = -24

x = -12

Check:  Is 3(-12) = 24 less than -12?  YES.

Answer:

It's answer #2 {(-9,5), (3,5), (0,1), (-6,8)}

Step-by-step explanation:

A non-function would be one that has TWO answers for ONE input, such as when you have y squared = 4. You can have y = 2 or -2. If you graph this, you would have a point directly above the other point on a graph.

Answer:

Solution:

Simplify the distributive property and solve.

Hence, the simplified expression is 12x + 42.

Topic : Linear equations in two variables.

Given :

Solution :

Now,

(i) + (ii)

[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + (x - 2y) = - 4 + 4}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + x - 2y = 0}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 3x \: \cancel{ + 2y} + x \: \cancel{- 2y} = - 4 + 4}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 4x = 0}[/tex]

[tex] \qquad \bf \: { \dashrightarrow x = 0}[/tex]

Now, substituting the value of x in Eq (i) :

[tex]\qquad \sf \: { \dashrightarrow 3x + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 3(0) + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 0 + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow y = \dfrac{ - 4}{2} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow y = -2}[/tex]

Therefore, The value of x = 0 and y = -2

The solution to the two given simultaneous equations are; x = 0 and y = -2

We are given the simultaneous equations;

3x + 2y = -4   -----(eq 1)

x - 2y = 4      ------(eq 2)

Add eq1 and eq2 to get;

4x = 0

x = 0/4

x = 0

Substitute 0 for x in eq 2 to get;

0 - 2y = 4

-2y = 4

y = -4/2

y = -2

Read more about Simultaneous Equations at; https://brainly.com/question/16863577

Answer:

1 is 3 2 is 4 3 is 6 that is all I know

Step-by-step explanation:

i did it already

Answer:

3²

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]  , [tex]a^{0}[/tex] = 1

given

[tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ [tex]3^{0}[/tex] )²

= [tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ 1 )²

= [tex]3^{-6}[/tex] × [tex](3^4)^{2}[/tex]

= [tex]3^{-6}[/tex] × [tex]3^{8}[/tex]

= [tex]3^{(-6+8)}[/tex]

= 3²

Answer:

tn=a+(n-1)d

a=2

d=2 so

tn=2+(n-1)2

=2+2n-2

2n