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77julia77 [94]
3 years ago
6

3. Solve this inequality: 1/4-8 < 4.

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

j  \:  <  \: 48

Step-by-step explanation:

We want to solve the inequality

\frac{1}{4}j - 8  \: <  \: 4

We add 8 to both sides to get:

\frac{1}{4}j \:  <  \: 4 + 8

\frac{1}{4} j \:  <  \: 12

Multiply both sides by 4 to get:

j  \:  <  \: 12 \times 4

j  \:  <  \: 48

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What is the 6th term in the geometric sequence described by this explicit formula?
Sphinxa [80]

Answer:

-5120 that is Option C is correct.

Step-by-step explanation:

We have been given the explicit formula we need to find the 6th term of the geometric sequence from the given formula.

The formula is:a_n=-5\cdot (4)^{n-1}

To find 6th term we will put n=6 in the formula given we will get:

a_6=-5\cdot 4^{6-1}

After simplification we get:

a_6=-5\cdot 4^5

After further simplification we will get:

a_6=-5120

Therefore, Option C is correct.

8 0
3 years ago
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What is the answer to this math problem? y=-1/5x-3
Sunny_sXe [5.5K]

Answer:

I think that this is just slope intercept form. You should graph 0, -3 and go up -1 on the y axis and move 5 on the x axis

Step-by-step explanation:

5 0
3 years ago
Subtract eleven out of 27 and then add 9
Vesnalui [34]

(27 - 11) + 9 =

= 16 + 9

= 25

3 0
3 years ago
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HELP PLEASE! :) Lilith is remodeling her bathroom and needs an $8,700 loan to pay for the cost of the remodel. Which loan option
Oxana [17]

Answer:

Which loan option will have Lilith pay the most amount in interest

loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate

Interest 3,750

Final payment 33,750

Step-by-step explanation:

1.-Interes rate compouned  

Loan 30,000

% 5.75%

Time( Years) 2.50

Interest 4,500

Final payment 34,500

2.-Simple interest  

Loan 30,000

% 5.75%

Time( Years) 2.50

Interest 4,313

Final payment 34,313

 

 

3.-Simple interest  

Loan 30,000

% 6.25%

Time( Years) 2.00

Interest 3,750

Final payment 33,750

 

4.-Interes rate compouned  

Loan 30,000

% 6.25%

Time( Years) 2.00

Interest 3,867

Final payment 33,867

3 0
3 years ago
If a security pays $55 in one year and $133 in three years, its present value is $150 if the interest rate is
Evgesh-ka [11]

Answer:

10%

Step-by-step explanation:

What we will do is apply the present value formula that would be as follows:

PV = P1 / (1 + R) + P2 / (1 + R) ^ 2 + ... + Pn / (1 + R) ^ n

Where VP is the present value, P would be the payment in each corresponding year and R what we are looking for, the interest rate.

Replacing we have the following values:

150 = 55 / (1 + R) + 133 / (1 + R) ³

We have a cubic equation that here is very complex to answer so we are going to use the symbolab tool.

Next we can see how it calculates the value of R step by step.

https://es.symbolab.com/solver/step-by-step/150%20%3D%2055%20%2F%20%5Cleft(1%20%2B%20R%5Cright)%20%2B%20133%20%2F%20%5Cleft(1%20%2B%20R%5Cright)%20%C2%B3

The result is that R equals approximately 0.09976, therefore the interest rate is 9.976%, or rounding 10%

3 0
3 years ago
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