Investment of $3000 at 16% simple interest for two years.

Answers

Answer 1

Answer: I=PRT
r=rat
P=present amount
I=interst
t=time in yeare

2 years
16%
3000
I=2*3000*0.16
I=$960

Answer 2

Answer: 16% of $100 is $16
16% of $1000 is $160
16% of $3000 is $480

2 years of simple interest 16% on $3000
= $3000 + $480 + $480
= $3960

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amita decides that she wants the molds to have a square base from originally having a rectangular prism with a volume of 28 cubic centimeters - how many possible molds can she use

Answers

Given:
rectangular prism = 28 cubic cm
convert to square based or cube

volume of rectangular prism = length * width * height
volume of a cube = a³

√28 = 3.03658897188

Amita can use 3 possible molds that are square based.

Find the product. Do not round.

2.78 · 9.3 =

Answers

Answer:

25.854

Step-by-step explanation:

We are given that

$2.78\cdot 9.3$

We have to find the given product.

To find the product we will remove the decimal.

In 2.78 when we remove the decimal then we write 100 in denominator because here is decimal after two digit from right side.

In 9.3, when we remove the decimal then we write 10 in denominator because decimal after one digit from right side.

$(278)/(100)* (93)/(10)$

Multiply numerator with numerator and denominator with denominator

$(25854)/(1000)=25.854$

We write decimal after three digits from right side because denominator is 1000.

Hence, $2.78\cdot 9.3=25.854$

the answer is 25.854

The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.

Answers

Answer:

So the quotient of $(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)$ has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

$(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)$

Factorizing the expressions we have

$(x^(2) + 3x -2x - 6)/(x^(2) -x - 5x + 5) X (x^(2) + 3x - x - 3)/(x^(2) -2x -5x + 10)$

$(x(x + 3)- 2(x + 3))/(x(x -1) - 5(x - 1)) X (x(x + 3) - 1(x + 3))/(x(x - 2) - 5(x - 2))$

$((x + 3)(x - 2))/((x - 5)(x - 1))X((x + 3)(x - 1))/((x - 2)(x - 5))$

Cancelling out the like factors, (x -1) and (x - 2), we have

$((x + 3)(x + 3))/((x - 5)(x - 5))$

= $((x + 3)^(2) )/((x + 5)^(2) )$

So the quotient of $(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)$ has (x + 3)² in the numerator and (x + 5)² in the denominator.

One twelfth of the circle is 30 degrees. how many radians is one twelfth of the circle

Answers

$30^o=(30)/(180)\pi\ rad=(1)/(6)\pi\ rad=(\pi)/(6)\ rad$

a circle has a total of 2π radians, so 1/12 of that is 2π/12, or π/6 radians

What is x^2+8x-5 in vertex form? Please explain.

Answers

$x^2+8x-5=\nx^2+2\cdot4\cdot x-5=\nx^2+2\cdot4\cdot x+4^2-4^2-5=\n(x+4)^2-16-5=\n(x+4)^2-21$

$x^2+8x-5=\n x^2-8x+16-21=\n (x-4)^2-21$

Divide the fractions and simplify the answer 60 / 2 2/3

Answers

2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

Please mark my answer as the brainliest answer, I'd really appreciate it, thanks!

Hey there, make 60 a fraction, 60=60/1, 2 2/3 as an improper fraction is 8/3. Now, we have 60/1÷8/3, change the ÷ sign into a × sign. Flip 8/3 into 3/8, now we have 60/1×3/8. 60×3=180 and 1×8=8. Now, we have a fraction of 180/8. Then, we simplify 180/8. The GCF of 180 and 8 is 4 so we divide by 4, 180÷4=45 and 8÷4=2, So, 180/8 simplified is 45/2, 45 is bigger than 2 so we make 45/2 as a mixed number, 45/2 as a mixed number is 22 1/2. Therefore, 60 ÷ 2 2/3 = 22 1/2

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