Mathematics College

I NEED HELP ASAP: Bonnie deposits $80.00 into a new savings account.
- The account earns 5.5% simple interest per year.
- No money is added or removed from the savings account for 4
years.
What is the total amount of money in her savings account at the
end of the 4 years?

Answers

Answer 1

Answer:

17.60

Step-by-step explanation:

Please see the attachment for the step by step answer

I NEED HELP ASAP: Bonnie Deposits $80.00 Into A New Savings Account.- The Account Earns 5.5% Simple Interest

Related Questions


A car is going 50 miles per hour.

A rate that describes this would have units of?

А. miles and hours.

B. miles and cars.

C. hours only.

D. miles only.

Answers

miles and hours is the correct option.

NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU

The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the triangle

Answers

Answer:

Shorter leg=3

Longer leg=4

Step-by-step explanation:

Equations

In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

[tex]a^2=b^2+c^2[/tex]

Let's call

x=the shorter leg of the triangle

The longer leg is 1 cm longer than the shorter leg, thus:

x+1=the longer leg.

Since the hypotenuse is 5 cm long:

[tex]5^2=x^2+(x+1)^2[/tex]

Operating:

[tex]25=x^2+x^2+2x+1[/tex]

Swapping sides and simplifying:

[tex]2x^2+2x+1=25[/tex]

Subtracting 25:

[tex]2x^2+2x-24=0[/tex]

Dividing by 2:

[tex]x^2+x-12=0[/tex]

Factoring:

[tex](x-3)(x-4)=0[/tex]

We have two possible solutions:

x=3, x=4

The longer leg is x+1.

If x=3, x+1=4

If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.

Thus, the solution is:

Shorter leg=3

Longer leg=4

A recipe calls for using ¾ cup of brown sugar for each ⅔ cup of white sugar. How many cups of brown sugar are used per cup of white sugar?
Show the rate and unit rate.

Answers

Answer:

1 1/8 cups of brown sugar is needed. The unit rate is 1 1/8 cups of brown sugar per cup of white sugar.

Step-by-step explanation

2/3 * 3/2 = 1 This is for white sugar

3/4 * 3/2 = 9/8 or 1 1/8 This is for brown sugar

Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest? ​

Answers

Answer:

The rate of interest is 9%.

Step-by-step explanation:

Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :

[tex]i = \frac{prt}{100} [/tex]

[tex]let \: i = 360,p = 4000,t = 1[/tex]

[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]

[tex]36000 = 4000r[/tex]

[tex] \frac{36000}{4000} = r[/tex]

[tex]r = 9[/tex]

A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?

Answers

Answer:

10 km

Step-by-step explanation:

volume of cube = s^3

1 m = 100 cm

volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3

Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.

1,000,000 cm = 10,000 m = 10 km

Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50

Answers

Answer:

32

Step-by-step explanation:

Determine the unknown side of the similar triangle.
A)
2
B)
3
4
D)
5

Answers

Answer : C) 4
Step by Step explanation:

Answer:

(C). 4

Step-by-step explanation:

Sides of the similar triangles are proportional.

if X ~ Y , then [tex]\frac{12}{6}[/tex] = [tex]\frac{8}{x}[/tex] ⇒ x = 4

What is -7 as a fraction

Answers

Answer:-7/1

Step-by-step explanation:

Answer:

-7/1

Step-by-step explanation:

Identify the angles that each have a measure of 88°. ​

Answers

Answer:

vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv

Step-by-step explanation:

1, 3, and 8

8 is it’s corresponding angle. 1 is vertical to it and 3 corresponds with 1

help me please i dont know what this is i cant think

Answers

Answer:

ahhhhh swear that's scary honestly

If b^2=a then b is what of a?

Answers

1:: If
a
is divisible by a square of a prime number, then we cannot conclude from |2
a
|
b
2
that |
a
|
b
.

Any time
a
is divisible by a square of a prime number, =⋅
a
=
k
⋅
p
n
where ≥2
n
≥
2
and
p
does not divide
k
, you can see that
a
divides (⋅−1)2
(
k
⋅
p
n
−
1
)
2
, but
a
does not divide ⋅−1
k
⋅
p
n
−
1
.

Part 2: If
a
is not divisible by a square of a prime number, then we can conclude from |2
a
|
b
2
that |
a
|
b
.

On the other hand, if
a
is not divisible by a square of a prime number, then =12⋯
a
=
p
1
p
2
⋯
p
n
where
p
i
is prime for all
p
. Then, assuming
a
divides 2
b
2
, you can conclude that
p
i
divides 2
b
2
, and therefore
p
i
divides
b
(from prime factorization) for all
i
. From this, you can conclude that
a
divides
b
.

Answer:

[tex]\huge\boxed{b = \sqrt{a}}[/tex]

Step-by-step explanation:

If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

[tex]b^2 = a[/tex]

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

[tex]\sqrt{b^2} = \sqrt{a}[/tex]

[tex]b = \sqrt{a}[/tex]

So b is the square root of a.

Hope this helped!

Need this ASAP
What is the constant of proportionality in the equationy=2x

Answers

Answer:

2

Step-by-step explanation:

[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]

Hence, constant of proportionality = 2

Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?

Answers

Answer:

$90

Step-by-step explanation:

If she ended up with 70 dollars then subtract 25 from 70 and you will get 45. then you double 45 which gives you 90 dollars

a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days

Answers

34560 ounces

Step by Step Explanation:

12 x 64 = 768
768 x 45 = 34560 ounces

Rewrite each equation 5x – 4y = 6

Answers

Step-by-step explanation:

5x-4y=6.....eqn.1

or,5x=6+4y

or,x=6+4y/5....eqn.2

from eqn.1..5(6+4y/5)-4y=6

or,6+4y=6

:y=0 ans..

frm eqn.2

:x=6+0\5

:x=6/5 ans..

You start at (3,-3). You move down 2 units and up 6 units. Where do you end? On a coordinate plane

Answers

Answer:

(3 , 1)

Step-by-step explanation:

(3 , - 3)

(3 , - 3 - 2 + 6) = (3 , 1)

Can someone help me answer

Answers

Answer: she should by 9 bottles of juice

Step-by-step explanation:

because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9

She needs to buy 9 juice bottle


Identify the following data set:
The rates at which all of the cashiers scan products for a store on a study about the
cashiers for the day

Answers

Answer: Population

Step-by-step explanation:

Answer:

Population

Step-by-step explanation:

I just took the quiz

Equation
Answer
7w = 21



m7= 5



6b = -42



x5=10



8b = 96



y2= -20



-6c = -36



4p = 48



m-11= -3



k-2= 4



12g = -60



-3w = -39



m-9=20



w4= -60



17b = 51
Can someone please HELP

Answers

1 . w=3
2. m= 7/5
3. b= - 7
4. x= 2
5. b= 12
6. y= -10
7. c= 6
8. p=12
9. m= 3/11
10. k= -2
11. g= - 5
12. w= 13
13. m= -20/9
14. w= -15
15. b= 3
:)

Find the sum of all integers between −102 and 104.

Answers

The integers from -102 to 102 would all cancel, leaving you with

(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104

= 103 + 104

= 207

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25

Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $

Answers

6.86 hope this helps !! :))

If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?

Answers

Step-by-step explanation:

He will read 50 pages in an hour

HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.

What is the value of b?

Answers

Answer:

[tex]b=2[/tex]

Step-by-step explanation:

We know that the line passes through the point (16, -10).

And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]

Notice that the slope of this line is -3/4

Remember that parallel lines have the same slope.

Therefore, the slope of our new line is also -3/4

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:

[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]

Distribute:

[tex]y-(-10)=-\frac{3}{4}x+12[/tex]

Simplify:

[tex]y+10=-\frac{3}{4}x+12[/tex]

Subtract 10 from both sides:

[tex]y=-\frac{3}{4}x+2[/tex]

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.

Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2

Answers

Answer:27^n+3–6*3^3n+3–n*9^n+2

Step-by-step explanation:

The midpoint of AB is at (3, 2) . If A = (4, 8) , find b

B is:( , )

Answers

Answer:

B (2,-4)

Step-by-step explanation:

HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.

Answers

The cost of the entrance would be 7.5$, because 2.50$ x 6 equals 15.

Let’s multiply 6 x 2 to get twelve, and if six rides are 15$, that would be 30$ for twelve rides. But we still have three more.

2.50 x 3 would be 7.5$, and if we add that to 30$, we would get 37.5$.

With entry fee though, we would add 37.5$ to
7.5$, and so it would be 45$ on the dot.

Your answer would be 37.5$ without entry fee, and 45$ with entry fee.

If this helped.. please do me a favor and mark this as the Brainliest! :))

simplify 3(12 - 8) + 5

Answers

Answer:

17

Step-by-step explanation:

The value of the given linear expression 3(12 - 8) + 5 is 17.

What is a linear equation?

A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.

Therefore, the variable x⁰ = 1.

Given linear expression:

3(12 - 8) + 5

= 3 × 4 + 5

= 12 + 5

= 17

Learn more about linear expression here: https://brainly.com/question/1955739

#SPJ2

A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
​

Answers

(30m/s divided by 2)x 10800 ( convert 3hr to seconds by x with 60squared)
= 162000 m ( convert m to km by dividing with 1000)
= 162 km


Plz mark as brainleast if this answers helped ya.

Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.

Answers

Answer: D. A polygon is concave if no diagonal contains points outside the polygon.

Explanation:

Choice A is true since "equiangular" means "equal angles"

Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon

Choice C is true. The term "lateral" means "side".

Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.

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