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3 years ago

Calculate the density of a 500g rectangular block with the the following dimensions

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

7 0

length=8 cm, width=6 cm, height=5 cm. (answer = 2.1 g/cm3)

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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

C.9<br> D.36<br> Geometry math question no Guessing and Please show work

liq [111]

AQ : QE = 2 : 1 ( property of a centroid of a triangle)

Therefore 2/1 = 18 / QE

2QE = 18

QE = 9 (answer)

8 0

4 years ago

Factor completely: 2x3 + 6x2 + 2x + 6.

Oksi-84 [34.3K]

Answer:

The correct option is A.

Step-by-step explanation:

The given expression is

$2x^3+6x^2+2x+6$

Taking out the common factor.

$2(x^3+3x^2+x+3)$

$2(x^2(x+3)+1(x+3))$

$2(x+3)(x^2+1)$

The complete factor form of given expression is $2(x+3)(x^2+1)$ . Therefore the correct option is A.

4 0

4 years ago

Read 2 more answers

Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indica

natka813 [3]

Answer:

a)x₁ = 24 business owners plan to provide a gift this year

b) p-value = 0,0017

c)p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion p₁ = 30 % p₁ = 0,3

Then x₁ = 80*0,3

x₁ = 24 business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis H₀ p₁ = 0,45

Alternative Hypothesis Hₐ p₁ < 0,45

p₁ = 0,3 then q₁ = 1 - 0,3 q₁ = 0,7

z(s) = ( p₁ - 0,45 )/ √p₁* q₁ / n

z(s) = - 0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find p-value = 0,0017

c) If α = 0,05 ( significance level ) as

p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease

6 0

3 years ago

Whats the answer to 6/2(1+2)=

WARRIOR [948]

Answer:

the answer is 9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers