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4 years ago

Name three solutions of x > 10.5

Mathematics

1 answer:

Wewaii [24]4 years ago

6 0

Answer:

x = 11

x = 10.7

x = 40

Step-by-step explanation:

Choose any number that is greater than 10.5.

The solutions are what x can equal to.

Keep the solutions in decimal form.

x = 11

x = 10.7

x = 40

All of these numbers are greater than 10.5.

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If you double the radius of a circle, then you will quadruple the circumference of the circle

alexira [117]

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

7 0

3 years ago

Determine the value of c that satisfies the given relation. 3c-1/3=c/2

Aleks [24]

Answer:

$2c - 3$

Step-by-step explanation:

$3c - \frac{1}{3} = \frac{c}{2} = 2c - \frac{1}{3} (2) = 2c - \frac{2}{6} = 2c - 3$

5 0

3 years ago

Please I really need an answer

Verdich [7]

Answer:

Point J is in quadrant II.

Step-by-step explanation:

The quadrants are numbered starting with the top right hand corner. That would be quadrant I. After that, we go counter clockwise in order to continue numbering. Since J is in the one that is next in order, it would be in quadrant II.

5 0

3 years ago

Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo

svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

$PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}$

$128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

$PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

PV = $121718.2714

C) In order to estimate how many payments of $1400 it will take to pay off the loan, we have:

$121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}$

$121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}$

$0.60859 = (0.006458)^{nt}$

$nt = \dfrac{0.60859}{0.006458}$

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88 - 177795.38

The amount of interest saved = $153920.5

6 0

4 years ago

L 2.5.3 Quiz: Adding and Subtracting Unlike Fractions

nlexa [21]

I think that the answer is 51/54.
First you need to find the common denominator of both fractions, 54.
1/9 is 6/54 and 5/6 is 45/54. 45+6=51. And the denominator goes on the bottom,making the answer 51/54.
Hope this helps!

8 0

3 years ago