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Neporo4naja [7]
3 years ago
5

What is the gcf of 42 and 154

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0
The greatest common factor is 2
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3, -2, -7,...<br> what is the common difference of this arithmetic sequence
worty [1.4K]

Answer: -5

Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.

In this sequence, we are adding -5 each time

so our common difference is -5.

7 0
3 years ago
Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

  • Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

A=2500\times 1.48935      ∵  \left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935

A=\:3723.38 $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0
3 years ago
What is the name of a figure made of 6 congruent squares
ozzi

Answer:

B) Cube

Step-by-step explanation:

A) square pyramid has one square base and 4 congruent triangles

B) Cube has 6 congruent squares

C) Rectangular pyramid has one rectangle base and 4 congruent triangles

D) Rectangular prism has 3 sets of rectangles; total of 6 rectangles

5 0
3 years ago
Find the least number In the data set 62,58,56,61,59,57
arlik [135]
56 really to easy ...........
7 0
3 years ago
9(5x + 1) ÷ 3y
Ivan

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

Both 5 and 3 are numbers in front of variables.

Hope this helps!! :)

3 0
3 years ago
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