All categories

1 year ago

Which equation says that the area of the picture itself is 700 in ²?

Mathematics

1 answer:

djverab [1.8K]1 year ago

6 0

Answer:

See below

Step-by-step explanation:

(36 - 2x) * (17-2x) = 700 I think, given the info

4x^2 - 106x + 612 = 700 expanded....

You might be interested in

What is 75percent of 200

Setler79 [48]

Answer:

150

Step-by-step explanation:

4 0

2 years ago

Solve the system by the substitution method -4x + 3y = -7 y = 2x - 5

bagirrra123 [75]

Answer: x=4 and y= 3

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation

8 0

3 years ago

What is the volume of a frustum of a right pyramid with the area of the lower base square to 100 square inches, the area of the

otez555 [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

2 years ago

NEED URGENT HELP!

sp2606 [1]

(3,9)(5,15)
slope = (15 - 9) / (5 - 3) = 6/2 = 3

y = mx + b
slope(m) = 3
(3,9)...x = 3 and y = 9
sub and find b, the y int
9 = 3(3) + b
9 = 9 + b
9 - 9 = b
0 = b

so ur equation is : y = 3x + 0....can be written as y = 3x.

after 12 months...
y = 3x...x = 12
y = 3(12)
y = 36 inches

6 0

3 years ago