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Readme [11.4K]
3 years ago
8

What must you invest today to receive an annuity of $4,500 for 10 years compounded at 8% quarterly when all withdrawals will be

made at the end of each period?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would if he uses the same ratio?

Step-by-step explanation:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width if he uses the same ratio?

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4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag
Salsk061 [2.6K]

Answer:

No

Step-by-step explanation:

One infinity cannot be larger than another

3 0
3 years ago
T-shirts are on sale for $4 off he regular price. Jeb buys 5 T-shirts for a total of 45.05, including a 6% sales tax. Which equa
Ksenya-84 [330]

Answer:

1.06 × 5(r-4) = 45.05

Step-by-step explanation:

Let r represents the regular price of each T-shirt,

After getting $ 4 off in regular price,

New price of each T-shirt = r - 4,

Thus, new price of 5 T-shirts = 5 × price of each T-shirt

= 5(r - 4)

Since, there is 6% sales tax,

Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))

= 5(r-4) + 0.06(5(r-4))

= 1.06 × 5(r-4)

According to the question,

1.06 × 5(r-4) = 45.05

Which is the required equation.

5 0
3 years ago
For what real values of does the quadratic 12x^2+kx+27=0 have nonreal roots
bija089 [108]

Answer:

k<±36

Step-by-step explanation:

Δ<0 (no real roots)

b²-4ac<0

k²-4x12x27<0

k²-1296<0

k²<1296

k<±36

3 0
3 years ago
A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?
Molodets [167]

Hi there!

\large\boxed{y = 2x + 6}

For a system to have infinite solutions, the lines have to be the same. We can begin by rearranging the given equation into the format y = mx + b:

2y - 4x = 6

Move x to the opposite side:

2y = 4x + 6

Divide all terms by 2:

y = 2x + 6

The answer choice that matches this is the first one.

5 0
3 years ago
In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were consi
valentina_108 [34]

Answer:

The answer is "0.4329 ".

Step-by-step explanation:

P( three in favor of FA)

Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges  

=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2  \times 1\times 3!}\times \frac{5  \times 4  \times 3!}{2 \times 1 \times 3!}}{\frac{11  \times10  \times 9  \times 8 \times 7  \times 6! }{5 \times 4 \times 3  \times 2  \times 1 \times 6!}}\\\\

=\frac{ (5 \times 4) \times(5  \times 2)}{(11  \times 3  \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329

6 0
3 years ago
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