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3 years ago

11

Checking account A charges a monthly service fee of $25 and a wire transfer fee of $6.50 each, while checking account B charges

a monthly service fee of $16 and a wire transfer fee of $8.50 each. Which checking account is the better deal if 4 wire transfers are made per month?

2 answers:

Leokris [45]3 years ago

7 0

I'm pretty sure the answer is checking account A. Hope this helps

amid [387]3 years ago

5 0

Account B. This is because if you multiply 8.50 (the fee) by 4 (how many times you are going to use it) then add that product by 16, you get 50 dollars a month. Account A was 51 dollars a month.

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What is container B that is full after the pumping is complete ?

scoray [572]

<em>Answer</em>

68.4%

<em>Step-by-step explanation</em>

The volume of a cylinder is calculated as follows:

$V=\pi r^2h$

where <em>r </em>is the radius and <em>h </em>is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

$\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}$

In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

$\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}$

After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, <em>x</em>, represents the volume of cylinder A. We can do this with the help of the next proportion:

$\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}$

Solving for x:

$\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}$

6 0

1 year ago

Hi there. I am having an issue figuring out which is the base and which is the length.

Paha777 [63]

We can split the given figure in 2 right triangles:

So, in order to get the area of each triangle, we need to find the base, denoted by x in both of them. Since both are right triangles, we can to apply Pythagoresn theorem. By applying this theorem to right hand side triangle, we have

$x^2+8^2=17^2$

so we have

$\begin{gathered} x^2+64=289 \\ then \\ x^2=289-64 \\ x^2=225 \end{gathered}$

Then, x is given by

$x=\sqrt{225}=15$

Then, the area of the left triangle is given by

$A_1=\frac{base\times height}{2}=\frac{15\times36}{2}=270in^2$

Similarly, the area of the second triangle is given by

$A_2=\frac{base\times height}{2}=\frac{15\times8}{2}=60in^2$

Then, the area of the entire figure is the sum of the area of the 2 triangles, that is,

$A=A_1+A_2=270+60=330in^2$

Therefore, the answer is: 330 square inches

8 0

1 year ago

What is the volume of a cone (in cubic inches) of radius 5 inches and height 3

beks73 [17]

Answer:

78.54 cm^3

Step-by-step explanation:

I think thats the answer

6 0

3 years ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

3 years ago

(7.8×10^7) + (9.9×10^7)

Hatshy [7]

(7.8×10⁷)+(9.9×10⁷)
(7.8×10000000)+(9.9×10000000)
(78000000)+(99000000)
177000000

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3 years ago