What is the factored form of x^2 -4x-12

If P dollars are invested today at an annual interest rater compounded once a year, then the value of the account A after 2 year

Molodets [167]

9514 1404 393

Answer:

about 7.61%

Step-by-step explanation:

Put the given numbers into the formula and solve for r.

2200 = 1900(1 +r)^2

√(22/19) = 1 +r

r = √(22/19) -1 ≈ 0.076055 ≈ 7.61%

3 0

3 years ago

What is the area of cross-section ADGF of this right rectangular prism?

dedylja [7]

Answer:

C.52 square units

Step-by-step explanation:

We are given that

Length of cross-section ADGF,l=13units

Length of cross-section ADGF, b=4 units

We have to find the area of cross-section ADGF of this right rectangular prism.

We know that

Area of rectangle= $l\times b$

Using the formula

Area of cross-section ADGF of this right rectangular prism

= $13\times 4$

Area of cross-section ADGF of this right rectangular prism=52square units

Option C is correct.

C.52 square units

5 0

2 years ago

The formula F=9/5C+32 converts temperatures from Celsius C to Fahrenheit F. A. Solve the formula for C b. The boiling point of w

liraira [26]

Answer:

(a) $\therefore C=\frac59(F-32)$

(b)The boiling point of water in Celsius scale is 100°C.

(c)The setting in Celsius scale is 26.7°C.

Step-by-step explanation:

Given that,the formula is

$F=\frac95 C+32$ ......(1)

(a)

Given that,

$F=\frac95 C+32$

$\Rightarrow F-32=\frac95 C+32-32$ [ subtracting 32 from both sides]

$\Rightarrow F-32=\frac95 C$

$\Rightarrow \frac95 C=F-32$

$\Rightarrow C=\frac59(F-32)$ ......(2) [Multiplying $\frac59$ ]

$\therefore C=\frac59(F-32)$

(b)

Given that, the boiling point of water is 212°F.

Putting F=212 in equation (2)

$\therefore C=\frac59(212-32)$

$\Rightarrow C=\frac59\times 180$

$\Rightarrow C=5\times 20$

$\Rightarrow C=100$

The boiling point of water is 100°C.

(c)

Given that, a house thermostat is set at 80 degree.

Putting F=80 in equation (2)

$\therefore C=\frac59(80-32)$

$\Rightarrow C=\frac59\times 48$

$\Rightarrow C\approx26.7$

The setting in Celsius scale is 26.7°C.

7 0

2 years ago

-2.75 + 8.25 ? Help pls

Archy [21]

The answer is 5.5!!!!

3 0

2 years ago

Jason wanted to place all 540 marbles in the 3 newly bought boxes. If he wants to

kotegsom [21]

Answer:

The first box will have 90 marbles, the second 180 and the third 270.

Step-by-step explanation:

Division in a ratio of 1:2:3

1 + 2 + 3 = 6

So

The first box will have 1/6 of the marbles.

The second box will have 2/6 = 1/3 of the marbles

The third box will have 3/6 = 1/2 of the marbles.

First box:

One sixth, so:

(1/6)*540 = 540/6 = 90

Second box:

One third, so:

(1/3)*540 = 540/3 = 180

Third box:

One half, so:

(1/2)*540 = 540/2 = 270

The first box will have 90 marbles, the second 180 and the third 270.

7 0

2 years ago