All categories

3 years ago

3. A system of functions is given. Select

Mathematics

1 answer:

Aleks04 [339]3 years ago

5 0

Answer:

Step-by-step explanation:

The easiest way is to graph both functions and see where they intersect. The intersection is where f(x) = g(x).

f(x) = -x² - 3x + 6

g(x) = 2x² + 5x + 3

You might be interested in

Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0

3 years ago

Read 2 more answers

Which of the following describes the graph of 2x + 4y < 16?

SSSSS [86.1K]

Answer:

dashes line shaded below

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers

Choose An Answer Please

Aleksandr-060686 [28]

The answer is A.1125 ft.

4 0

3 years ago

Read 2 more answers

perform the translation of triangle ABC according to the vector DR. Find the coordinates of the image.

belka [17]

I think that the answer for that one is A

5 0

3 years ago

What is photosynthesis ?<br>what is pain ?<br>

Aloiza [94]

Answer:

photosynthesis is the process by which plants use energy from the sun in order to produce energy such as glucose. It mainly uses energy from the sun, carbon dioxide, and water to achieve this.

Pain is a warning signal produced by your body and sent to the central nervous system to tell you of a physical injury. Your body has many pain receptors that can be triggered by a myriad of things like heat or punctures.

7 0

3 years ago

Read 2 more answers