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4 years ago

Solve (x + 1 < 4) ∩ (x - 8 > -7).

Mathematics

1 answer:

olga55 [171]4 years ago

3 0

Answer:

$1$

Step-by-step explanation:

Let simplify each of these inequalities individually and then look at where they intersect afterwards

$x+1$

And

$x-8>-7\\\\x>1$

This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.

This can be represented by the following inequality $1$

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3 years ago

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4 years ago

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Rama09 [41]

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2 years ago

Read 2 more answers

Antonio deposits $1,750 into an account that earns 5% interest compounded daily. How much interest does he earn after 1 day?

Natali [406]

Answer:

He earns $0.24 in interest after 1 day.

Step-by-step explanation:

Compound interest:

$A(t)=P(1+\frac{r}{n})^{n\ast t}$

In which:

P is the principal, the amount of the initial deposit.

r is the yearly interest rate, as a decimal.

n is the number of compoundings during a year.

t is the number of years.

In this question:

Deposit of $1,750, so P = 1750.

Interest rate of 5%, so r = 0.05.

Compounded daily. A year has 365 days, so n = 365.

After 1 day. 1 day is 1/365 of an year, so t = 1/365.

The amount he will have after one day will be:

$A=1750(1+\frac{0.05}{365})^{\frac{1}{365}\ast365}=1750(1+\frac{0.05}{365})=1750.24$

The interest earned will be:

Amount after 1 day subtracted by the deposit.

Deposit of $1,750.

After 1 day, he will have $1,750.24.

1750.24 - 1750 = 0.24

He earns $0.24 in interest after 1 day.

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1 year ago