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Artyom0805 [142]

2 years ago

7

11,700 is invested in a compound interest account paying 3.9% compounded quarterly. How much will be in the account after 18year

s.

1 answer:

Misha Larkins [42]2 years ago

8 0

A=p(1+i/m)^mn
A=11,700×(1+0.039÷4)^(4×18)
A=23,527.94

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

2 years ago

You have $20 saved and you earn $11.00 an hour working part time at a dry cleaner. You want to go to a concert this summer and t

klio [65]

Answer:

C

Step-by-step explanation:

you would start your graph at $20.

you would than create a graph that goes up hourly

with the money amount increasing every hour

6 0

2 years ago

Read 2 more answers

HELP PLEASE!! HURRY!!!! NO SPAM!!!!!! Identify the solution set of the inequality 4|f + 6| ≤ −16 and the graph that represents i

blagie [28]

Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

6 0

2 years ago

The last term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four

Olegator [25]

Answer:

13

Step-by-step explanation:

where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .

8 0

2 years ago

Which are true or false

Savatey [412]

we are given

$y=19.75x$

Here,

y is the number of gallons of water in the pool

x is the number of minutes the truck has been filing the pool

now, we will verify each options

option-A:

When x=1

then y=19.75

so, for 1 minute , number gallons =19.75

so, this is FALSE

option-B:

Since, we have

$y=19.75x$

It is similar to equation of line

y=mx+b

But b=0

It means that it passes through origin

so, this is TRUE

option-C:

$y=19.75x$

we can compare it with

y=mx

where m is the rate

so, we get

$m=19.75$

while we are given

the water in swimming pool increase about 100 gallons by every 5 minutes

so, we get rate as

$m=\frac{100}{5} =20$ gallons per minute

this is close to 19.75

so, they are approximately equal

so, this is TRUE

option-d:

x-value and y-value will show relationship

and ratio will always be constant or equivalent

because it has linear relationship

so, this is TRUE

option-e:

We need to check

(8,150) ..so, x=8 and y=150

we can plug this in our equation

and we get

$150=19.75\times 8$

$150=158$

Since, left side is not equal to right side

so, this can not be point

so, this is FALSE

5 0

2 years ago