Five years ago you deposited a sum of money into a savings account which has earned $150 in interest. The interest rate for the account is 3% simple interest per year. How much money was originally deposited in the account?

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!

Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

Answer:

108 No explanation needed, mark me brainliest

Answer:

108 is your correct answer

Step-by-step explanation:

Answer:

24.3 cm

Step-by-step explanation:

length AC= 20²+12²= 544

√544= 23.3 cm

answer = 23.3²+7²= 591.89

√591.89= 24.3 cm

hope it helps! please mark me brainliest

thank you! have a good day ahead

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Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

Answer:

Alyssa=225

Eric=680

Step-by-step explanation:

The money Alyssa has $660 and  Eric has $245.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Alyssa has $75 less than three times Eric.

Let $x be the money Eric had.

Then Alyssa has 3x-75

Together they have $905.

So, x+3x-75=905

4x=905+75

4x=980

x=980/4

x=$245

Money Alyssa has 3x-75

= 3×245-75

= 735-75

= $660

Therefore, money Alyssa has $660 and  Eric has $245.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

u can use "a squared + b squared = c squared"

in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.

Answer:

26

Step-by-step explanation:

You would use the Pythagorean theorem to solve for the last side.

Pythagorean theorem- a^2+b^2=c^2

a and b =sides

c=hypotenuse

Since you are finding the hypotenuse(c), you don't have to rearrange the formula

plug in a and b.

10^2+24^2=c^2

solve

100+576=c^2

676=c^2

do the square root of 676 to get rid of the c^2

26=c

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Answer:

292.32

Step-by-step explanation:

i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

Step-by-step explanation:

what is the unit of measurement for the 1/4, 1/4, and 1/2?

Answer:160

Step-by-step explanation:

Answer:

there is no picture but if you make another post with the picture, I will more than gladly answer it  :)

Step-by-step explanation:

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} + \frac{9}{12}[/tex]   <-- let's change 2/3 into a fraction that has 12 as the denominator

[tex]\frac{2}{3}[/tex] × 4   <-- multiply both the numerator and the denominator by 4

2 × 4 = 8   <-- new numerator

3 × 4 = 12   <-- new denominator

now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]

[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex]    <-- let's change it into a mixed number

17 ÷ 12 = [tex]1\frac{5}{12}[/tex]

Answer: its 17/12

Step-by-step explanation:

Answer:

30 minutes = 0.5 hour

Step-by-step explanation:

0.5 miles faster than Liam:

4x + 0.25 = 4.5x

0.25 = 4.5x - 4x

0.25 = 0.5x

x = 0.25 / 0.5

x = 0.5 hours

x = 30 minutes

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

thanks for ask question.

Complete question :

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.

Answer:

44°

Step-by-step explanation:

From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 30 / 30

Tanθ = 1

θ = tan^-1(1)

θ = 45°

Hence, bearing of B from C is 45°

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

A. 24

B. 36

C. 180

D. 240

E. 1656

Cost of one candy = 69 cents  

Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

             = 60(20 + 4) + 9(20 + 4)

             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

Therefore, Options A, B, C and D are not possible partial products.

Answer:

its A :)

Step-by-step explanation:

Answer:

your really think ik the answer

Step-by-step explanation:

yea the  sorry

Answer:

y = 2. It is a horizontal line.

Step-by-step explanation:

The asymptote is the line that the function comes close to touching, but never will. Because the range is y > 2, you know that any value greater than 2 can and will be a y-coordinate, but the function will never have 2 as a y-coordinate. It will never touch the line y = 2, and therefore, y = 2 is the asymptote. Hope this helps!

Answer:

The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .

Step-by-step explanation:

Given

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

Rule to calculate the dilation by a scale factor 2/3 centered at the origin

P(x, y) → P'(2/3x, 2/3y)

Here, P'(2/3, 2/3y) is the image of P(x, y).

Thus,

A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)

Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .

Answer:

37

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

Answer:

44

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

Answer: They are congruent, because the angle representers are equal on both triangles

Step-by-step explanation:

Answer:

y=[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

Answer:

3

Step-by-step explanation:

a, e, and o

Answer:

4 vowels with but he has two o’s

Step-by-step explanation:

A ,y e, o,