Mathematics Middle School

You invest $5,000 in a savings account paying 4% interest compounded quarterly. How much is in the account after 5 years if there are no withdrawals and no additions to the account?

Answers

Answer 1

1 years is $5200
2 years is $5408
3 years is $5624.32
4 years is $5849.29
5 years is $6083.26

Answer 2

A=P(1+R)TIME
5000(1+0.04)^5
= 6083.264512
NOTE THE 5 IS WRITTEN AS A SQUARE

Related Questions

Is it 2.20? Because if the square root is 2.23 then you’d find the value of the nearest hundredth?

Answers

When you round a number, you look at the size of the number before it. In this case, you are rounding the hundredths place, so you will look at the size of the thousandths place.
The square root of 5 is approximately 2.236
You want to find the hundredths place, so you'll need to look at the thousandths place.
The thousandths place is 6, which is more than 5, so you will round 2.236 up to 2.24

The square root of 5 to the nearest hundredth is 2.24

Hope this helps =)

The correct answer is 2.24

∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ?
Enter your answer in the box. |___| °

Answers

93 if they really are vertical angles. Vertical angles are equal.

93 it tells you vertical are the same so if <2 is 93 <1 is 93 to :P

Christopher’s back yard is in the shape of a trapezoid.The bases of his back yard are 30 and 40 feet long.The area of his back yard is 525 square feet.Write and solve an equation to find the height of Christopher’s back yard.

Answers

The height is 15 sqr. ft. the equation to solve this is:

2*525/30+40

what the answer subtitution of x=6+y and ×-4y=21

Answers

x= 6 + y
x - 4y= 21

The first equation is already solved for x. Take the value of x (6 + y) and substitute it for the x value in the second equation.

x - 4y= 21
(6 + y) - 4y= 21
combine like terms
6 - 3y= 21
subtract 6 from both sides
-3y= 15
divide both sides by -3
y= -5

Substitute the -5 for y in the equation to solve for x

x - 4y= 21
x - 4(-5)= 21
x + 20= 21
subtract 20 from both sides
x= 1

CHECK:
x= 1
y= -5

x= 6 + y
1= 6 + (-5)
1= 1

ANSWER: x= 1 and y= -5

Hope this helps! :)

x=1 y=-5 hope this helped

write two division equations for 15 times 2/5= 6

Answers

Two division equations:
6 divided by 2/5 = 15.
6 divided by 15 = 2/5.

Just to the opposite of multiplication.

The two division equations for 15 times 2/5 = 6 are 15÷(5/2) = 6 and

15 = (5/2)(6) + 0.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know, N = DQ + R.

First type,

15×(2/5) = 6.

15÷(5/2) = 6.

Second type,

N = DQ + R.

15÷(5/2) = 6.

15 = (5/2)(6) + 0.

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Tyler buys 2 pairs of shoes every year. Which of the following expressions shows the total number of shoes he buys in z years?

Answers

2z i guess so and if not then 2+z
Let me know what is the answer

It's 2z. If there is a number and a variable right next to eachother that means they are being multiplied, and in this problem, he is buying two pairs of shoes each year, which implies that you are multiplying.

what is the volume of a rectangular prism with a base area of 32 cm and a height 6 cm

Answers

Volume = base area x height
Volume = 32 x 6
Volume = 192cm³

------------------------------------------
Answer: 192cm³
------------------------------------------

The volume of a rectangular prism with a base area of 32 cm and a height 6 cm is 192cm³

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.

We need to find the volume of a rectangular prism with a base area of 32 cm and a height 6 cm

Volume of rectangular prism is base area times of height

Base area = Thirty two =32 cm²

Height=6 cm

Volume of rectangular prism=32×6

=192cm³

Volume of a rectangular prism with a base area of 32 cm and a height 6 cm is 192cm³

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Expand. Your answer should be a polynomial in standard form. (4−7y)(7+4y)

Answers

You have to distribute the (4-7y) to (7+4y). After distributing, you get the answer: -28y^2-33y+28

Final answer:

To expand (4−7y)(7+4y), apply the FOIL method to get the expanded form: 28 + 16y - 49y - 28y². Combine like terms to get the standard form: -28y² - 33y + 28.

Explanation:

To expand the given expression (4−7y)(7+4y), we need to apply the distributive property (also known as the FOIL method in this case, which stands for First, Outer, Inner, Last):

First: Multiply the first terms in each binomial: 4 × 7 = 28.Outer: Multiply the outer terms: 4 × 4y = 16y.Inner: Multiply the inner terms: -7y × 7 = -49y.Last: Multiply the last terms: -7y × 4y = -28y².

Combine the middle terms (16y and -49y) and arrange the polynomial in standard form, which is ordering terms from highest to lowest degree:

Expanded form: 28 + 16y - 49y - 28y²

Combine like terms: 28 - 33y - 28y²

Standard form: -28y² - 33y + 28

What is 860,693 round to the nearest thousand

Answers

That would be 861,000

Hi!

To round something to the nearest number place (e.g. tens, hundreds, thousands) you need to first identify the correct place with your problem 860,693
^
the thousands place is right here

To round it you need to take the number before it 860,693 and see if it
^
which is here
greater than or less than 5. If it is greater than 5 then you round up, if it is less than 5 then you round down.

So your answer is 861,000 because you round up.

Help asap pleasee will give brainliest

Answers

x and 71 are complementary angles

Triangle ABC and DEF are similar. AB=15 cm, BC=18 cm, and EF=6 cm. What is thr length of DE?

Answers

3 * EF = BC
so 3 * DE= AB
DE = AB / 3
= 15 / 3
= 5 cm

Can somebody tell me the answer and how to get answers

Answers

since AB and QR are parallel, than angle 2 is the same as the given angle 70 degrees

than angle 1 would be 180 - 70 = 110 degrees

answer: 1 = 110
2 = 70

Select the appropriate tool for each type of measurement. Cecilia needs to determine the mass of a coin. Dmitry needs to determine the temperature of salt water. Gustav needs to measure out 12.5 mL of distilled water. Julianne wants to measure the height of her laboratory table

Answers

Answer:

Hope this helps!:)

Step-by-step explanation:

HELP ME ASAP PLEASE!!!!!

Answers

The answer is D: between 10 and 11.
Hope I helped!

The answer is D.) Because the square root of 111 is 10.53565375 which is neither 10 or 11 but its between

your dog's water bowl is 3/4 full after taking a drink the water bowl is 1/3 foot what fraction of the ball did your dog drink

Answers

5/12 this is easy plz hit the thanks button

how do you find a complementary and supplementary angles

Answers

Complementary angles add up to 90
Supplementary angles add up to 180

12 - Complement - 78
12 - Supplement - 168

45 - Complement - 45
45 - Supplement - 135

83 - Complement - 7
83 - Supplement - 97

63 - Complement - 27
63 - Supplement - 117

4 - Complement - 86
4 - Supplement - 176

what is 1.8k - 5 lol help :)

Answers

1.8k = 1800
so 1800-5=1795

1.8k - 5 = 1795 because all your doing is taking 5 away from 1,800.

Brainliest please? I am trying to get my rank to Ace!

How many inches are in 8 feet

Answers

There are 96 inches in 8 feet.

Hope this helped!

There are 96 inches in 8 feet. 12(8)=96

Which unit should be used when measuring the length of a state border?

A.
centimeter

B.
kilometer

C.
meter

Answers

Hey there!

A state border is thousands of miles long (some of them). Meters would be too small of a measurement. Centimeters is even smaller. So the answer is B. Because this uses the least amount of numbers.

I hope this helps!

The answer is b. kilometer

Hope this helps :)

The area of the base of a rectangular prism is 18 cm2. The height of the prism is 9 1 2 cm. What is the volume of the prism?

Answers

The volume of the rectangular prism with a base area of 18 cm2 and height of 9 1/2 cm is calculated to be 171 cm3, using the formula Volume = area of base x height.

The volume of a rectangular prism is calculated by multiplying the area of the base by the height of the prism. In this case, the area of the base is given as 18 cm2, and the height is 9 1/2 cm, which can also be written as 9.5 cm for easier multiplication.

To find the volume, we use the formula: Volume = area of base * height. Substituting the known values, we get:

Volume = 18 cm2 * 9.5 cm

Volume = 171 cm3

Therefore, the volume of the rectangular prism is 171 cm3.

If LM=41-2x and NP=7x+5, find LM

Answers

Answer:
LM = 33 units

Explanation:
From the drawing:
LM = NP
41 - 2x = 7x + 5
41 - 5 = 7x + 2x
36 = 9x
x = 9

This means that:
LM = 41 - 2x
LM = 41 - 2(4)
LM = 33 units

Hope this helps :)

each day Marvin exercises for 48 minutes how many days will it take him to exercise for 576 minutes?

Answers

The answer is 12 because 576 divided 48 is 12 .

576 / 48 = 12

It would take Marvin 12 days to exercise for 576 minutes.

a car weighs more than 2000 pounds (write an inequality)

Answers

The answer

X > 2000

Hope this helps.

The answer is x>2000.

Hope this helps!! ;))
Have a grat day!! <3

Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.

Answers

we know that

The triangle is right-angled with the legs DE (horizontal) and DF (vertical).

see the attached figure

Hence
the circumcenter is the mid-point of the hypotenuse EF,
point E (8,3) point F(1,-5)
Fin the mid-point

Xm=(8+1)/2----------> Xm=4.5
Ym=(-5+3)/2----------> Xm=-1
the mid-point is (4.5,-1)

the answer is
the circumcenter is the point (4.5,-1)

ANSWER

The circumcenter of triangle DEF has coordinates [tex](4.5,-1)[/tex]

EXPLANATION

The circumcenter of triangle DEF is the point where all the three perpendicular bisectors of the three sides of the triangle intersect.

Let us find the perpendicular bisector of any two sides, because the third one will also meet these two perpendicular bisectors at the same point.

The perpendicular bisector of ED passes through the midpoint of the line connecting D(1,3) and E(8,3).

We must therefore find the midpoint to obtain,

[tex]N=(\frac{1+8}{2},\frac{3+3}{2})=(4.5,3)[/tex]

The slope of ED is

[tex]n=\frac{3-3}{8-1}=0[/tex].

The slope of the perpendicular bisector is the negative reciprocal of the slope of ED

[tex]slope=-\frac{1}{0}[/tex] which undefined.

The equation of a line that has an undefined slope is given by

[tex]x=x_1[/tex].

Therefore the equation of the perpendicular bisector of ED is [tex]x=4.5--(1)[/tex]

We must also find the equation of the perpendicular bisector of DF.

The midpoint of D(1,3) and F(1,-5) is [tex]M=(\frac{1+1}{2}, \frac{3+-5}{2})=(1,-1)[/tex]

The slope of DF is

[tex]m=\frac{-5-3}{1-1} =\frac{-8}{0}[/tex] this is an undefined slope but let us keep it like this for now.

The perpendicular bisector will have a slope that is the negative reciprocal of this undefined slope

[tex]slope=-\frac{1}{\frac{-8}{0}}= \frac{0}{8}=0[/tex]. This means that the slope is parallel to the x-axis.

The equation of lines that are parallel to the x-axis is given by the formula,

[tex]y=y_1[/tex].

Therefore the equation of the perpendicular bisector is [tex]y=-1--(2)[/tex].

The perpendicular bisectors will intersect at, [tex](4.5,-1)[/tex]

Hence the circumcenter is [tex](4.5,-1)[/tex]

Frank averages 3 strikes for every 10 frames that he bowls. If he bowled 42 strikes in a season, how many frames did frank bowl?

A. 126 frames
B. 140 frames
C. 156 frames
D. 164 frames

Answers

For this case we can make the following rule of three:
3 strikes ---------> 10 frames
42 strikes -------> x
From here, we clear the value of x.
We have then:
[tex]x = (42/3) * (10) x = 140 frames[/tex]
Answer:
frank did bowl about:
B. 140 frames

Assume a and b are natural numbers. if a and b are two different primes, find GCD(a,b) and LCM(a,b).

Answers

Prime numbers are those numbers that have only 1 and the number itself as factors.

If a and b are prime numbers.

The greatest common divisor of a and b is 1.

The lowest common multiple of a and b is ab.

What is a prime number?

Prime numbers are those numbers that have only 1 and the number itself as factors.

2 is the only even prime number.

Examples:

2, 3, 5, 7, 11 are all prime numbers

We have,

Two natural numbers a and b.

a and b are prime numbers.

The greatest common divisor of a and b:

The prime numbers have 1 and the number itself as its factors.

So,
a x 1 = a

b x 1 = b

1 is the GCD of a and b.

The lowest common multiple of a and b:

a x b = ab

ab is the lowest common multiple of a and b.

Thus,

The greatest common divisor of a and b is 1.

The lowest common multiple of a and b is ab.

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The GCD of two different prime numbers is 1, and the LCM is the product of the two primes.

GCD(a,b) is the Greatest Common Divisor, which is the largest positive integer that divides both numbers without a remainder. For two different prime numbers a and b, their GCD will be 1 because there are no common factors other than 1. LCM(a,b) is the Least Common Multiple, which is the smallest multiple that is divisible by both numbers. For prime numbers a and b, their LCM will be the product of the two primes.

Yasmine needs to create invitations for the party. She has 3/4 of an hour to make the invitations. It takes her 1/12 of an hour to make each card. How many invitations can Yasmine create?

Answers

3/4 of an hour is 45 minutes, and 1/12 of an hour is 5 minutes.
5 * 9 = 45
So the total amount of cards she can make is nine cards.

Maybe I'm wrong but i hope it helps

It is found that Yasmine can create 9 cards.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Yasmine needs to create invitations for the party. She has ¾ of an hour to make the invitations. It will takes her 1/12 of an hour to make each card.

Since Yasmine takes 1/12 hour create number of cards = 1

Yasmine takes 1 hour to create number of cards = 1 x 12/1 = 12

Yasmine takes 3/4 hour to create number of cards = 12 x 3/4 = 9

Therefore, It is found that Yasmine can create 9 cards.

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What’s the measure of angle x

Answers

so a circle is divided into 360 equal degree,so that a right angle ie 90 degree

33 is the product of Jenny's height and 3

Answers

Jennys hight is 30, (33-3)

Find the slope of an line with the endpoints of (3,7) and (9,4)

Answers

Y2 -y1
X2-x1

4-7 = -3
9-3 = 6

Slope = -3/6 which mean -1/2

Y= -1/2x+b
Find b

4= -1/2(4) + b

4= = -2+b
Add 2 from both sides

6= b

Y= -1/2+6

This would help

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