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4 years ago

Can someone please help with this question

Mathematics

1 answer:

Alina [70]4 years ago

5 0

The Pythagorean Theorem is a^2 +b^2 = c^2, where a and b are the sides and c is the hypotenuse ( angled line).

a^2 + 6^2 = 18^2

a^2 + 36 = 324

a^2 = 324 - 36

a^2 = 288

a =√288

a = 12√2

a^2 + 3^2 = 9^2

a^2 + 9 = 81

a^2 = 81-9

a^2 = 72

a = √72

a = 6√2

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The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $140/month for their trip. If they depos

Natalka [10]

Answer:

(a)$5805.21

(b)Least Expensive Mortgage =$120640.59

Most Expensive Mortgage =$152032.77

Step-by-step explanation:

The future value of an ordinary annuity with deposits P made regularly k times each year for n years, with interest compounded times k per year at an annual rate r, is given as:

$F.V.=\dfrac{P[(1+i)^{kn}-1]}{i}$

The Pirerra's Monthly Payments=$140

Annual Rate =9.5%

Therefore: Monthly Rate=0.095/12

Years, n=3

Period, k=12

$F.V.=\dfrac{140[(1+\frac{0.095}{12} )^{3*12}-1]}{\frac{0.095}{12} }=\$5805.21$

(b)For the Johnsons, Present value of Mortgage is derived using the formula:

$\Text{Present Lump Sum}, A_0=\dfrac{P[1-(1+i)^{-kt}]}{\frac{r}{k} }$

At $1000 Monthly payment

$\Text{Present Lump Sum}, A_0=\dfrac{1000[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$104640.59$

Adding a down payment of $16000

Least Expensive Mortgage = 104640.59+16000=$120640.59

At $1300 Monthly Payment

$\Text{Present Lump Sum}, A_0=\dfrac{1300[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$136032.77$

Adding a down payment of $16000

Most Expensive Mortgage = 136032.77+16000=$152032.77

4 0

3 years ago

You worked a total of 62 hours this week at a regular pay rate of $21.25. for any time worked past 40 hours, you receive additio

wolverine [178]

$21.50(40) + $31.88 (62-40)
$21.50(40) + $31.88(22)
$860 + $701.36
$1561.36

8 0

4 years ago

HELP ASAPPPPPP( i need it before 5:30)

lions [1.4K]

Answer: I would say that x = 10 degrees

Step-by-step explanation:

The angle has a square, meaning it is a right angle. Right angles are 90 degrees, and you're given 80 degrees + x.

90 - 80 = 10

Hope this helps!

3 0

3 years ago

Read 2 more answers

????????????????????????????????????????????????????????????

Nuetrik [128]

Answer:

r=20

Step-by-step explanation:

to get rid of the division part, you multiply 6 each side. now you have r+10=30. to solve, now you subtract 10 from both sides. this gives you r=20 :)

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3 years ago

Which graph represents the linear function y= -5x + 2

Semmy [17]

Look at all the options... the correct one should have a negative slope (so it would be a line decreasing), and it should also intersect on the Y axis at 2.

7 0

3 years ago