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ss7ja [257]
3 years ago
11

Determine the 28th term of the sequence -242, -251, -260

Mathematics
1 answer:
maxonik [38]3 years ago
7 0
We can figure this out using the explicit formula.
f(n)=f(1)+d(n-1)
n represents the term we are looking for.f(1) represents the first term in the sequence, which in this case, is -242.d represents the common difference, which in this case, is -9.

f(n) = -242 + -9(n - 1)
f(n) = -242 - 9n + 9
f(n) = -233 - 9n

Now, we can input 28 for n and solve.

f(28) = -233 - 9(28)
f(28) = -233 - 252
f(28) = -485

The 28th term of the sequence is -485.
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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
2 years ago
The product of x and 6 is at least -17
mr_godi [17]

The product of x and 6: 6(x)

is at least -17: ≥ 17

6x ≥ 17 is your answer

hope this helps

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3 years ago
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kow [346]
The distance between -2 and -1 1/2 is 1/2:

-2+1/2=-1 1/2
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I was trying to show my work but hope this could help you
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What number must be added to the expression below to complete the square? x2+x
iren2701 [21]

Answer:

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