Money is borrowed at ​%18 simple interest. After one​ year, ​$981.76 pays off the loan. How much was originally​ borrowed?

Answers

Answer 1

Answer:

$805.0432

Step-by-step explanation:

118% was paid, so the original would be 82% of 981.76 (100-18), which is $805.0432 (rounds to $805.04)


Related Questions

A ball has a mass of 3g and a volume of 6 cm3. It's density is what
and will it float or sink
in water.

Answers

Answer:

float

Step-by-step explanation:

density = mass/voume

3g/6c.m. ^3

0.5g/c.m.^3 = 0.5g/mL^3

Since the density of water is about 1g/mL^3 and 0.5g/mL^3 is less than that, it will float

Answer ↓

pls view the calculations section of this ans for more details.

Calculations ↓

[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{density}\\$\displaystyle\frac{mass}{volume} \\ \end{minipage}}[/tex]

Mass  = 3g

Volume = 6

3/6

1/2 <----- density

So the density is 1/2 mL³

It will float because it's density is less than the density of water

hope helpful ~

For each value of w, determine whether it is a solution to -8+5w >32.

Answers

Answer:

• no

• no

• no

• yes

Step-by-step explanation:

Let's start by solving the inequality.

-8 +5w >32

5w> 32 +8

5w> 40

Divide both sides by 5:

w> 8

This means that the value of w should be greater than 8.

Since w is not ≥8, the value of w does not include 8. -6 and -5 are smaller than 8 and are thus not the value of w either.

9, being greater than 8, is a solution to the inequality.


43. Find an equation of the tangent line to the curve [tex]y=10^{x}[/tex] at the point (1,10)

Answers

Answer:

23x-y=13

Step-by-step explanation:

we need to find the derivative with respect to x

In(y) =In(10^x)

In(y)=xIn(10)

now we have to take the derivative with respect to x

Therefore, y'=yIn(10)

where y'=10^xIn(10), Chain rule!

note: First derivative function always give us the gradient value when x value is substituted in

Therefore, at x=1, our gradient will be m= 10^1In(10)

Gradient m=23.0 to the nearest tenth

Finding the equation of the line

y-y1=m(x-x1)

y-10=23(x-1)

y-10=23x-23

y-23x=-23+10

y - 23x = -13

so, the equation of the line tangent line is

23x - y =13

Subtraction is the reverse operation of_____

Answers

Answer:

addition !

Step-by-step explanation:

Answer: subtraction is the reverse operation of Addition

Step-by-step explanation: Hope this helps,


Simplify 2x-- yfor x = 3 and y=-2.
•20
•14
•16
•10

Answers

Answer:

8 (none of the above)

Step-by-step explanation:

Given that,

→ x = 3

→ y = -2

Let's solve the equation,

→ 2x - y

→ 2(3) -(-2)

→ 6 + 2

→ 8 is the answer.

Find the smallest whole number by which 2268 should be multiplied so as to
get a perfect square number. Also find the square root of the square number
so obtained.

Answers

Answer:

Correct option is B)

252=

2×2

×

3×3

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number  by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

×

3×3

×

7×7

252×7

=

2×2

×

3×3

×

7×7

=2×3×7=42

Step-by-step explanation:

To find the smallest whole number by which 2268 should be multiplied to get a perfect square, we need to factorize 2268 into its prime factors. Then, we can determine which prime factors are needed to make the number a perfect square.

The prime factorization of 2268 is:

2268 = 2^2 * 3^2 * 7 * 9

To make it a perfect square, we need to include the missing factors. In this case, we are missing a factor of 2 and a factor of 3. Therefore, we need to multiply 2268 by 2 * 3 = 6.

2268 * 6 = 13608

Now, we have a perfect square number, 13608.

To find the square root of 13608, we can take the square root of each of its prime factors:

√(2^2 * 3^2 * 7 * 9)

= √2^2 * √3^2 * √7 * √9

= 2 * 3 * √7 * 3

= 6 * √7

So, the square root of the square number 13608 is 6√7.

complete the table of values for y=x^2-4x+3

Answers

The equivalent values to complete the table are 5, -1, -4 and 0
Given the function according to the table shown:

When x = -1

When x = 1

When x = 2

when x = 4

Hence the equivalent values to complete the table are 5, -1, -4 and 0
y=x²-4x+3

x=1

y=1²-4(1)+3=1-4+3=0

x=2

y=2²-4(2)+3=4-8+3=7-8=-1

x=3

y=3²-4(3)+3=9-12+3=12-12=0

A circle has a radius of 11.4 cm
What is the exact length of an arc formed by a central angle measuring 120°?

Enter your answer in the box. Express your answer using .

NEED HELP QUICK!!!

Answers

Answer:

7.6pie

Step-by-step explanation:

120°/360°=X/11.4×2 pie

1/3×22.8 pie =X

X= 7.6 pie

50 POINTSSS AND WILL GIVE BRAIN

Look at the graph attached

What is the domain?

–6 ≤ x ≤ 4
–6 ≤ x ≤ 4, x ≠ –6, 2
–12 ≤ x ≤ 10
–12 ≤ x ≤ 10, x ≠ –6, 6

Answers

Domain: All possible x-values

Starting at the left side, the smallest value of the domain is -12. There is a break at x = -6, but there is still a closed circle, which means that there IS a value for -6. The same occurs at x = 6. The largest x-value of this graph is 10.

Therefore, the domain is -12 <= x <= 10

Hope this helps!

Please help on math.​

Answers

Answer:

[tex]\fbox{625 \: dollars }[/tex]

Step-by-step explanation:

Given:

from circular graph,

Savings by Oliver's = 25% of Total budget

Monthly budget = $ 2500

To find:

How much money does Oliver save?

Solution:

From diagram we came to know that,

Oliver's saving is 25% of total monthly budget.

Hence the money he saves each month will be 25% of $2500(Monthly budget)

To calculate the X percent of any given real number multiply the number with X and divide it by 100.

[tex] \sf \hookrightarrow \: 25  \% \: of \: 2500 \\ \sf \hookrightarrow 2500 \times \frac{25}{100} \\ \sf \hookrightarrow 2500 \times \cancel\frac{25}{100}_4 \\ \sf \hookrightarrow \: \frac{2500}{4} \\ \sf \hookrightarrow \cancel{\frac{2500}{4}} \: ^{625} \\ \sf \hookrightarrow \fbox{625 \: dollars }[/tex]

625$ does Oliver saves each month.

Thanks for joining brainly community!

Which expression is equivalent to 4x+2y-8x

a) 2(3y-2x)

b) 2 (4y-2x)

c) 2(2y+3x)

d) 2(3x-2y)

Answers

The answer to your question is D.

chase deposits $7440.93 into a savings account that pays a simple annual interest rate of 1.23%

Answers

Answer:
To find how much money Chase will get in a certain amount of years, set up the following equation:

(7440.93*0.0123)*x = y

Plug in x. "x" stands for how many years Chase keeps the money in his account while earning interest.

Keep "y" unknown, as that stands for what you are trying to solve for, which is how much interest money Chase will make.

John jumped 32 inches. Ella jumped 1 foot farther than John jumped. How far did Ella jumped?
2 ft 8 in
8 ft 6 in
3 ft 8 in
7 ft 2 in

Answers

The answer is C
1 foot is 12 inches, 12 plus 32 is 44 in, convert that to feet and it is 3ft and 8in

Consider the following null and alternative hypotheses.

H zero: m < 67

Ha: m > 67

These hypotheses _______________.


Select one:
a. are established incorrectly
b. indicate a two-tailed test
c. indicate a one-tailed test with a rejection area in the right tail
d. indicate a one-tailed test with a rejection area in the left tail

Answers

Answer is c indicate a one tailed test

Please help me I need help asap

Answers

Answer:

AB = 23 , BC = 13

Step-by-step explanation:

Isosceles mean two side angle is equal to each other.

AB and AC are the same. So we can solve for x.

[tex]AB=AC\\5x-7=23\\5x=30\\x=6\\\\AB = 5x-7\\AB = 5*6-7\\AB=30-7\\AB = 23\\\\BC = 3x-5\\BC = 3*6-5 = 18 - 5 = 13\\BC = 13[/tex]

Answer:

Step-by-step explanation:

Because they tell us it's an isosceles triangle we know two sides are the same length.  since AB and AC look like they are similar we can assume that those sides are the exact same length.    Since we know , now, that AB and AC are equal in length,  set them equal

AB = AC

now plug in given info

5x-7 = 23

nice,  now use your super hero algebra skillz to solve for X.  My calculus prof.  always says that students are bad at algebra, i'll help you do the algebra.

5x-7=23  ( add 7 to both sides)

5x=23+7  (add 7 to 23 )

5x=30      (divide both sides by 5 )

x=6

yay,  we have X now.

we know AB =23 , because of the isosceles triangle thing.

BC = 3x-5

plug in for X :)

3*6-5=BC

18-5=BC

13=BC

Yay,  all the answers, and way to get the answers are above :P

x/9 times 15-47=28
help pls

Answers

Answer:

x=45

Step-by-step explanation:

Then,

x/5(15)-47=28

Step 1: Simplify the equation on both sides

x/9(15)-47=28

5/3x-47=28

Step 2: Add 47 to both sides

5/3x-47+47=28+47

5/3x=75

Step 3: Multiply both sides by 3/5

(3/5)*(5/3x)=(3/5)*(75)

x=45


13-28 Sketch the region enclosed by the given curves and find its area.
24. [tex]y=\cos x, \quad y=1-\cos x, \quad 0 \leqslant x \leqslant \pi[/tex]

Answers

Answer:

rea (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

Solve the equation by using the quadratic formula.
8x2 – 2x - 15 =0

Answers

Answer:

x = 3/2 or x = -5/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 2 x - 15 = 0

Using the quadratic formula, solve for x.

x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:

x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16

Simplify radicals.

sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:

x = (2 + 22)/16 or x = (2 - 22)/16

Evaluate (2 + 22)/16.

(2 + 22)/16 = 24/16 = 3/2:

x = 3/2 or x = (2 - 22)/16

Evaluate (2 - 22)/16.

(2 - 22)/16 = -20/16 = -5/4:

Answer: x = 3/2 or x = -5/4

50 points each question. Please help. How do I solve?

Answers

Here’s the Explanation in the image

[tex]~~~~y= \sec^{-1} (14x)\\\\\\\implies \dfrac{dy}{dx} = \dfrac{1}{14x \sqrt{(14x)^2 -1}} \cdot 14\\\\\\\implies \dfrac{dy}{dx}=\dfrac{1}{x\sqrt{196x^2 -1}}\\\\\\\text{At point,}~~ (x_1,y_1) = \left(\dfrac{\sqrt2}{14}, \dfrac{\pi}4} \right), \text{slope of the tangent line,}\\\\\\m = \dfrac{dy}{dx} = \dfrac{1}{\dfrac{\sqrt 2}{14} \sqrt{196 \left(\dfrac{\sqrt 2}{14} \right)^2-1}} \\\\\\~~~~~~~~~~~=\dfrac{14}{\sqrt 2 }\\\\\\~~~~~~~~~~~=\dfrac{7\sqrt 2 \sqrt 2}{\sqrt 2}\\\\\\[/tex]

             [tex]=7\sqrt 2\\\\\\\text{Equation of tangent line,}\\\\\\~~~~~y-y_1 = m(x -x_1)\\\\\\\implies y- \dfrac{\pi}4 = 7\sqrt 2 \left(x - \dfrac{\sqrt 2}{14} \right)\\ \\\\\implies y= 7x\sqrt 2 - 1+ \dfrac{\pi}4[/tex]

What is value of 5 in 2 500.7

Answers

Answer:

500

Step-by-step explanation:

Since the 5 is in the hundreds place in the number 2500.7, its value is 5 * 100 = 500.

Answer:

hundreds

Step-by-step explanation:

Which choice is equivalent to the expression below?
7x2 - 42 + x2
O A. 3x12
O5x22
O C. 8x^2 - 4-15
O D. 6x1/2 -3-2

Answers

Answer:

the answer to your problem is c

Answer:

Did you copy C correctly?  

If not, then C should equal 8x^2 - 16

Step-by-step explanation:

Simplify  7x^2 - 4^2 + x^2

I hope this helps!

Juana and Andy completed 10 math problems total. Juana completed 6 of the problems. Write an equation to determine the number of math problems that Andy completed, then solve the equation. How many of the math problems did Andy complete?​

Answers

Step-by-step explanation:

let the number of questions solved by Andy=x

this implies that 6+x=10

making x the subject of the equation

x=10-6

x=4

therefore Andy solved 4 questions

Write the equation in slope-intercept form, and detemine the slope and y-intercept. Write the y- intercept as an ordered pair.
−x + 5y = −5
The slope is .
The y-intercept is .
The equation written in slope-intercept form is ____________ .

Answers

Answer:

slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.

Step-by-step explanation:

1) if to re-write the given equation, then

[tex]y=\frac{1}{5}x-1;[/tex]

or y=0.2x-1;

this equation is slope-interception form;

2) according to the new view of the equation,

the required slope is 1/5;

the required y-intercept is -1.

If a number cube is rolled, how many times would we expect to get a number less than four out of 200 trials? Answer is 100

100
25
50
75

Answers

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

How to determine the expected number of rolls?

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

100

Step-by-step explanation:

Solve the equation 9(k-2)=- 6. ( slove for k​

Answers

Answer:

k=4/3

Step-by-step explanation:

9(k-2)=-6

-expand the bracket

9k-18=-6

-keep "k" on one side

9k=12

-divide both sides by 9 to get k

k=4/3

Is x = 0 a valid potential solution to the equation log(x + 2) + log(x + 5) = 1? (You don't need to solve this equation, just determine if x = 0 is a valid solution) Question 22 options: No, because log(0) is undefined. No, because the logarithm of a negative value is undefined. It can't be determined from the information given. Yes, since log(2) and log(5) both exist as valid values for the logarithm.

Answers

Answer:

Yes, since log(2) and log(5) both exist as valid values for the logarithm.

didnt check if ur equation is correct though

what is 3/8 - 1/4 = in simplest form

Answers

Answer:

1/8

Step-by-step explanation:

The lowest common multiple of 4 and 8 is 8.

1/4 = 2/8

3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8

1/8 cannot be simplified further.

Explanation and answer please

Answers

Answer:

$41.96

Step-by-step explanation:

30% of 59.95 is 17.99 (rounding to the nearest hundredth place since it was 17.985)

subtract 17.99 since it is the sale (30%)

59.95 - 17.99 = 41.96

the cd is worth $41.96 on sale for 30% off.

After several days of camping and long-distance bicycle riding, you decide to right straight home, riding at a constant rate. After 2 hours of riding you
kilometers from home and after 4 hours of riding youare 5 kilometers from home. Once you begin to ride home, how many hours will it take you to arrive at home?

Answers

Answer:

I just need points.

Step-by-step explanation:

Which ordered pair is a solution to the following system of inequalities? y ≤ –x2 + 8x y > x2 – 3 (–1, 4) (0, 9) (2, 7) (4, 3)

Answers

Answer:

(2, 7)

Step-by-step explanation:

(2, 7) are the coordinate which ordered pair is a solution to the following system of inequalities [tex]y \leq -x^2 + 8x \\[/tex] and [tex]y > x^2 - 3[/tex].

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

we want to find which ordered pair is a solution to the following system of inequalities.

[tex]y \leq -x^2 + 8x \\[/tex]

[tex]y > x^2 - 3[/tex]

The solution of a inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the inequality is the graph of all solutions of the system.

Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.

[tex]y \leq -x^2 + 8x \\\\y = -x^2 + 8x\\\\y > x^2 - 3\\\\[/tex]

x = 2 and y = 7

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

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