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3 years ago

The tables for f(x) and g(x) are shown below.

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

Step-by-step explanation:

(f - g)(5) = f(5) -g(5)

From the tables, ...

f(5) = 29

g(5) = 13

Your desired function is ...

f(5) -g(5) = 29 -13 = 16

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The shoes that Sofia wanted to buy at the mall were marked down from $30 to $24. What is the percentage of discount?

Nataliya [291]

30-24=6
6/30=1/5 aka 20%

The answer is 20%

Hope this helps.

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3 years ago

Who is correct Emmitt or Emily

lianna [129]

Answer:

I think Emily is

Step-by-step explanation:

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2 years ago

Furnace repairs Rj's plumbing charges $55 plus $40 per hour for emergency service. Gary remembers being billed over $150 for an

bulgar [2K]

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3 years ago

What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl

Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

$A(t) = A(0)(1+r)^t$

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that $r = 0.05$ , and thus:

$A(t) = A(0)(1+r)^t$

$A(t) = A(0)(1+0.05)^t$

$A(t) = A(0)(1.05)^t$

Time for the balance to triple?

This is t for which $A(t) = 3A(0)$ . So

$A(t) = A(0)(1.05)^t$

$3A(0) = A(0)(1.05)^t$

$(1.05)^t = 3$

$\log{(1.05)^t} = \log{3}$

$t\log{1.05} = \log{3}$

$t = \frac{\log{3}}{\log{1.05}}$

$t = 22.52$

It takes 22.52 years for the balance to triple in value.

3 0

3 years ago

8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200

SashulF [63]

Hi there!

$\large\boxed{h = 10km}$

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

6 0

2 years ago