Mathematics Middle School

jalen deposited 3 370 into a savings account that earns 1.8% simple intrest each year calculate the intrest jalen earns after 4 years

Answers

Answer 1

Answer:

17.5

Step-by-step explanation:

Related Questions

from a class containing 12 girls and 10 boys , students are to be selected to serve on a school advisory panel.

Answers

what is your question?

a normal distribution pf data has a mean of 15 and a standard deviation of 4 how many standard deviations from the mean is 25

Answers

Answer:

c 2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Please do 24 1/2 - 19 5/8

Answers

In order to subtract mixed numbers, the easiest way to do it is to make them into improper fractions.

In order to do that, multiply the whole number by the denominator and add it to the numerator.

That would make 24 [tex] \frac{1}{2}[/tex] into [tex] \frac{49}{2} [/tex].

Also, it'd make 19 [tex] \frac{5}{8}[/tex] into [tex] \frac{157}{8} [/tex].

Now that they're both improper fractions, you need to make them have a common denominator in order to actually subtract them. You can do that by multiplying the numerator and denominator of [tex] \frac{49}{2} [/tex] by 4, to make it stay the same fraction, but have the same denominator as [tex] \frac{157}{8} [/tex].

[tex] \frac{49}{2} = \frac{196}{8} [/tex]

Now we can subtract them!

[tex] \frac{196}{8} - \frac{157}{8} = \frac{39}{8} [/tex]
When subtracting fractions, only subtract the numerators. You don't subtract the denominators.

The final answer is [tex] \frac{39}{8} [/tex]

find by completing the square

Answers

[tex]y=ax^2+bx+c\\\\y=a(x-h)^2+k\ where\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}[tex]y=-3x^2+7x-5\\\\a=-3;\ b=7;\ c=-5\\\\h=\dfrac{-7}{2\cdot(-3)}=\dfrac{7}{6}\\\\k=\dfrac{-(7^2-4\cdot(-3)\cdot(-5)}{4\cdot(-3)}=\dfrac{-49+60}{-12}=-\dfrac{11}{12}\\\\y=-3\left(x-\dfrac{7}{6}\right)^2-\dfrac{11}{12}[/tex]

How is the graph of y= 1/3x related to its parent function y=1/x

Answers

Vertical contraction: g (x) = k · f (x)
When you multiply the y coordinate of the original function f (x) by a constant k:
If 0 <k <1, the function contracts on the y axis
We have then:
y = k * (1 / x)
Where,
k = 1/3
y = (1/3) * (1 / x)
y = 1/3x
Answer:
the function contracts on the y axis

how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6

choices
a. infinitely many
b. 2
c. 1
d. 0

Answers

The first step for solving this expression is to know that since both of the expression are equal to y,, we must set them each to each other to form an equation in x. This will look like the following:
-3x + 7 = -3x - 6
Now cancel equal terms on both sides of the equation.
7 = -6
This tells us that the statement is false for any value of x and y,, so our answer is (x,y) ∈ ∅,, or no solution (option D).
Let me know if you have any further questions.
:)

for the diagram below which equation is the correct use of the distance formula

the last one D is
D= √(11-6)^2 + (5-y2)^2

Answers

the Answer is A, verified apex

Answer: The correct equation is,

[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,

Then by the distance formula,

The length of the line segment is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,

Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]

[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]

Which is the required equation.

Which it true about modeling a solution to an addition problem on a vertical number line?

A. When adding a negative number, you move down

B. When adding a positive number, you move down

C. Locating the sum is not necessary.

D. Locating the sum is the first step

Answers

Part A is correct :)

Answer:

A. When adding a negative number, you move down

Step-by-step explanation:

Actually, according to transformation of functions, there's two types of transformation, those that only involve translation, and those that change the dimension of the function.

In this case, modelling a solution to an addition problem, we know that adding a negative number, the function will move downs, because in that case we will be transformation or "changing" the y-variable, that's why it will move vertically.

Therefore, the right answer is A.

Whats the value of x?

x = ___

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Using the Pythagorean Theorem, 169-144 = 25
The square root of 25 is 5 so x= 5
Hope this helps!

anyone willing to help?

Answers

the answer is 6, simply put

The easiest way to do this is to find the area of this shape as a rectangle (4x2) then subtract the missing triangle (1x2) so you should get 8-2=6 with six being the area. Let me know if you need help

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

C is the correct answer

it's equal to 0.42

good luck

21/50 = 0.42

0.42 is between 0.40 and 0.47

answer
C) 21/50

Ms. Ito's art class used 2/3 of bottle of blue paint. If they used 1/4 as much red paint as blue paint. How many bottles of red paint did they use?

Answers

The answer is 1/6 bottles of red paint. For how I got it was I multiplied 2/3*1/4 which was 2/12 and when u simplify it, your answer is 1/6. Hope this helped!!!

Final answer:

The class used 2/3 of a bottle of blue paint and 1/4 as much red paint, which means they used 1/6 of a bottle of red paint.

Explanation:

To solve the problem presented by Ms. Ito's art class, we first need to determine the amount of blue paint used and then calculate the red paint used based on that amount. The class used 2/3 of a bottle of blue paint. Since they used 1/4 as much red paint as blue paint, we need to divide the amount of blue paint by 4 to find the amount of red paint used.

Calculation: (2/3) ÷ 4 = 2/3 ÷ 1/4 = (2×1)/(3×4) = 2/12 = 1/6

Therefore, the class used 1/6 of a bottle of red paint.

Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?

HERE IS THE CHART

| pages | 6th | 7th | 8th| {Grades}

| 75 pages | 24 | 18 | 22 |

| 100 pages | 22 | 32 | 24 |

| 150 pages | 30 | 53 | 25 |

Answers

The correct probability is 85/103. Her errors were that she only took the number of 7th grade students that read 100 pages per week; she did not include the number of students that read more than that, and she wrote the denominator of the probability as the number of pages read instead of the total number of seventh grade students.

32 seventh grade students read 100 pages per week. 53 students read 150 pages per week. This is out of 18+32+53=103 seventh grade students. This gives us 32+53=85/103.

Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.

Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.

About what percent of the village women took between 48 and 56 minutes to collect one container of water?

Answers

The correct answer is 50%.

Approximately the middle 50% of data is contained inside the box of a box plot.

The range of the given whisker box plot is 64-45=19.The percent of the village women took between 48 and 56 minutes to collect one container of water lie in the middle box.The middle “box” represents the middle 50% of scores for the group .The middle 50% of scores fall within the inter-quartile range.The upper and lower whiskers represent scores outside the middle 50%.

About 50% of the village women took between 48 and 56 minutes to collect one container of water.

There are a total of 500 students in grades 1 through 5 in an elementary school. 17% of the total number of students are in 1st grade. 19% of the total number of students are in 4th grade. The number of 3rd-grade students is 9 less than the number of 4th-grade students. The number of 2nd-grade student is 10 less than the number of 5th-grade students. How many students are in each grade.

Answers

There are 0.17(500) or 85 students in grade 1.

There are 0.19(500) or 95 students in grade 4.

The number of students in 3rd grade is 95-9 or 86 students.

So, there are a total of 266 students from grade 1,3 and 4. This leaves 234 students for grade 2 and grade 5.

Let n be the number of students in 5th grade; n-10 is the number of students in 2nd grade.
[tex]n+\left(n-10\right)=234[/tex]

[tex]2n=244[/tex]

[tex]n=122[/tex]

There are 122 students in grade 5, and there are 112 students in 2nd grade.

122 students in 5th grade, 112 in second grade

a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?

Answers

if you do 1040-400 you get 640
then you need to divide that by 4 to get 160 leaving you with the width, to get the length you have to add 200 to the width meaning the length is 360

length = 360
width = 160

Length = width + 200

[tex]x + x + x + 200 + x + 200 = 1040 \\ 4x + 400 = 1040 \\ 4x = 640 \\ x = 160[/tex]
Length = 160 + 200 = 360 feet

Answer :
Width = 160 feet,
Length = 360 feet

Hope this helps. - M

Realy Need this Right away

Answers

I think it will be D.

(not super positive)

Tell me if i'm right or wrong plz!!!

Hope this helped!

:)

hey,
the answer is C
i hope that helped

First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?

1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.

Answers

MAD = Mean Absolute Deviation.
so you need to calculate the mean ( average) and then calculate the MAD ratio

see attached picture for how to calculate the MAD:

mrs.pappert left her house a quater past 7:00. At what time did she leave her house

Answers

She left her house at 7:15

A quarter past is 15 minutes past.

Mrs. Pappert left her house at 7:15.

two more than the product of a number and 8 is 5

Answers

When ever the problem says is, the next number after that is going to be the answer to the equation. So now you have =5.

Next it say two more which means adding so now we have, +2=5

Now we have the product of a number and 8. This means that the number and 8 equal the product. Now we know that an answer that is a product is a multiplication problem. That means that you have to multiply 8 and the number.

That leaves us with the answer, n•8+2=5

The unknown number is [tex]$ \frac{3}{8} $.[/tex]

Let's solve the problem step by step.

Given: Two more than the product of a number and 8 is 5.

Let's denote the unknown number as [tex]$ x $[/tex].

According to the problem, we can express the given condition in an equation:

[tex]\[8x + 2 = 5\][/tex]

To find the value of [tex]$ x $[/tex], we need to isolate it on one side of the equation. We'll begin by subtracting 2 from both sides to get rid of the constant term on the left side:

[tex]\[8x = 5 - 2\][/tex]

[tex]\[8x = 3\][/tex]

Now, to solve for [tex]$ x $[/tex], we'll divide both sides of the equation by 8:

[tex]\[x = \frac{3}{8}\][/tex]

So, the solution to the equation is [tex]$ x = \frac{3}{8} $.[/tex]

Now, let's provide a brief explanation:

The equation [tex]$8x + 2 = 5$[/tex] is formed based on the given problem statement. By subtracting 2 from both sides and then dividing by 8, we isolate the variable [tex]$ x $[/tex] to find its value, which is [tex]$ \frac{3}{8} $.[/tex]

Thus, the correct answer is:

[tex]\[ x = \frac{3}{8} \][/tex]

Complete question:

Two more than the product of a number and 8 is 5

Angles that are located outside the triangle are called (blank)

the sum of the exterior angles of a triangle is (blank) degrees

what are remote interior angles?

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1. Exterior
2. 360°
3. remote interior angles are angles that would equal a exterior angle when added together

Please help me! Show work thank you so much

Answers

A quadrilaterals angles = 360°

three angles are given, with the fourth as x: 90, 80, 74, x

Add all the angles together and set it equal to 360

90 + 80 + 74 + x = 360

Simplify. Combine like terms

x + 244 = 360

Isolate the x, subtract 244 from both sides

x + 244 (-244) = 360 (-244)

x = 360 - 244

x = 116

116° is your answer

hope this helps

Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7

Answers

The distance between -3 and 4 is D. positive 7. Since you are moving forward 7 places, the answer would be positive, However, if you were moving backwards, it would be -7.

I hope this helps.

Answer:

i just did it its positive 7

Step-by-step explanation:

Make x the subject of the formula y=ax

Answers

x = y/a (Isolate x by itself)

Brianna took out a car loan for $12,250 that has a 0% APR for the first 20 months and will be paid off with monthly payments over a 4 years. For how many months will Brianna be charged interest.

Answers

Brianna doesn’t have any interest, determined by the 0% APR for 20 months. This is 1 year and 8 months. If she plans on making the payments for 4 years then her interest months is 4 years (48 months) minus 20 months, leaving her with 28 months of being charged interest. 28 months is 2 years and 4 months.

Final answer:

Brianna will be charged interest for 28 months.

Explanation:

To determine how many months Brianna will be charged interest, we need to first calculate the total number of months she will be making payments. Since there are 4 years in total, and each year has 12 months, the total number of months is 4 years * 12 months/year = 48 months.

For the first 20 months, Brianna has a 0% APR and will not be charged interest. So we subtract these 20 months from the total number of months to find out how many months she will be charged interest: 48 months - 20 months = 28 months.

Therefore, Brianna will be charged interest for 28 months.

using the distributive property,which of the following expression is equivalent to 4(3+4y) 12+16y,12+4y,7+4y,7+8y

Answers

(4x3) + (4x4y) = 12 + 16y

The answer is 12 + 16y.
4(3+4y) = (4 x 3)+(4 x 4y) = 12 + 16y

Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the average expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?

$85,500
-$36,000
$94,000
$58,000

Answers

It's $94,000

1,000 X 100 X 4 = 400,000

Answer:

The correct option is $94,000

Step-by-step explanation:

Yearly premium under the insurance plan = $1,000

Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000

Number of people insured = 100

Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000

Average expenses incurred on accident = $38,000

Deductible = $4,000

Net expenses incurred per accident = $38,000 - $4,000 = $34,000

In 4 years , 9 motorcycle drivers had an accident

Total expenses incurred for accident = $34,000 * 9 = $306,000

Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000

Hope it helps.

Thank you !!

How to write 6.08 in expanded form

Answers

6.08=(6•1) + (0/10) + (8/100)

6.08 = (6 x 1) + (0/10) + (8/100)

what is
[tex]3\times \frac{ 2}{8} [/tex]

Answers

The first step for solving this expression is to reduce the fraction with 2.
3 × [tex] \frac{1}{4} [/tex]
Now multiply 3 by the numerator (top of the fraction) to find your final answer.
[tex] \frac{3}{4} [/tex]
This means that the correct answer to your question is going to be [tex] \frac{3}{4} [/tex],, or 0.75 in decimal form.
Let me know if you have any further questions.
:)

so...

[tex]3* \frac{2}{8} [/tex]
or
[tex]3* \frac{1}{4} = \frac{3}{4} [/tex] simplified

Hope I helped!

Kelly has 236 feet of fence to use to enclose a rectangular space for her dog. She wants the width to be 23 feet. Draw a rectangle that could be the space for Kelly's dog. Label the length and the width.

Answers

perimeter = 236 ft

length=?

p= 2l+2w

236=2l+2(23)

236=2l+46

190=2l

l= 95ft

Final answer:

To create the space for Kelly's dog, a rectangle with a length of 118 feet and a width of 23 feet should be drawn.

Explanation:

To draw a rectangle that could be the space for Kelly's dog, we need to consider the given information. Kelly has 236 feet of fence to use, and she wants the width to be 23 feet.

Since the opposite sides of a rectangle are equal in length, we can divide the total amount of fence by 2 to determine the length of each side. 236 feet / 2 = 118 feet.

So, the rectangle that could be the space for Kelly's dog would have a length of 118 feet and a width of 23 feet.

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