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4 years ago

I'm thinking of a number. When you:

Mathematics

2 answers:

Nezavi [6.7K]4 years ago

8 0

(x+2)*3 -7 +x =27

distribute

3x+6-7+x =27

4x -1 =27

add 1 to each side

4x = 28

divide by 4

x=7

The original number is 7

Pavlova-9 [17]4 years ago

5 0

Is the answer to it 7

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11. Mr Lee bought a second hand car for

Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

$A = P (1+\frac{r}{n} )^{nt}$

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12 (12 months in a year)

t = 2

Plug everything into the compound interest formula.

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{12})^{12*2}$

$A = 15480(1+\frac{.0475}{12})^{24}$

$A = 15480(1+.00396)^{24}$

$A = 15480(1.00396)^{24}$

$A = 15480*1.0992$

$A = $17016.14$

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4 (4 quarters in a year)

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{4})^{4*2}$

$A = 15480(1+\frac{.0475}{4})^{8}$

$A = 15480(1+.0119})^{8}$

$A = 15480(1.0119)^{8}$

$A = 15480*1.099$

$A = 15480(1.099)$

$A = 17013.20$

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{1})^{1*2}$

$A = 15480(1+\frac{.0475}{12})^{2}$

$A = 15480(1+.0475})^{2}$

$A = 15480(1.0475)^{2}$

$A = 15480*1.0973$

$A = 16985.53$

Mr. Lee paid $16,985.53 when the bill came due at 2 years with interest compounded yearly.

4 0

4 years ago

Mary paid $12 plus $0.50 per ride at the local fair. Jeffrey paid $2 per ride at the fair. They spent an equal amount.

Leno4ka [110]

It is answer B

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A farmer saw some chickens and pigs in a field. He counted 30 heads and 84 legs. Determine exactly how many chickens and pigs

baherus [9]

Answer:

Step-by-step explanation:

Given parameters:

Number of heads = 30 heads

Number of legs = 84 legs

Unknown:

Number of chickens and pigs = ?

Solution:

Since a chicken has one head, the number of chicken is the same as the number of heads;

Number of chicken = 30

A pig has 4 legs,

Number of pigs = $\frac{84}{4}$ = 21pigs

Total number of pigs and chickens = 30chickens + 21 pigs = 51

6 0

4 years ago

Write an equation in slope-intercept form for the line passing through the following pair of points: (2, -6), -4, 3).

saveliy_v [14]

The equation in slope intercept form is $y=-\frac{3}{2} x-3$

Explanation:

The given pair of points are $(2,-6)$ and $(-4,3)$

The slope can be determined using the formula,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the points $(2,-6)$ and $(-4,3)$ in the slope formula, we have,

$m=\frac{3+6}{-4-2}$

$m=\frac{9}{-6}$

$m=-\frac{3}{2}$

The equation in slope intercept form can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=-\frac{3}{2}$ and the point $(2,-6)$ in the above formula, we get,

$y+6=-\frac{3}{2} (x-2)$

$y+6=-\frac{3}{2} x+3$

$y=-\frac{3}{2} x+3-6$

$y=-\frac{3}{2} x-3$

Thus, the equation in slope intercept form is $y=-\frac{3}{2} x-3$

3 0

3 years ago

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. A- 3/50 B

11111nata11111 [884]

First, we need to know how many things between 1 and 50 are divisible by 3, this would be 16. Then we would divide this by the total number of integers, 16/50=8/25. This means your answer is C.

4 0

3 years ago

Read 2 more answers