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Arte-miy333 [17]
3 years ago
6

Please help! 15 pts!

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

6 years

their average age now is 15

so, in six years the average age will be 21

Step-by-step explanation:

If im wrong you have my regrets

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What is the rate of return on a $5,000 bond purchased at $4,750 with a 12% coupon?
maxonik [38]

Answer:

12.63

Step-by-step explanation:

3 0
3 years ago
Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work together, how long will it
anastassius [24]

Answer:

2 2/5 hours

Step-by-step explanation:

In 6 hours Brian can lay 1 slab of concrete

dividing both side by 6

in 6/6 hours Brian can lay 1/6 slab of concrete

Thus, in 1 hour  Brian can lay 1/6 slab of concrete

In 4 hours Greg can lay 1 slab of concrete

dividing both side by 4

in 4/4 hours Greg can lay 1/4 slab of concrete

Thus, in 1 hour  Greg can lay 1/4 slab of concrete

Thus, total part of slab laid by both in 1 hour when they work together

1/6 + 1/4 = 4+6/(6*4) = 10/24 = 5/12

5/12 of slab of concrete is laid by both of them in 1 hour

time taken to lay 5/12 of slab = 1 hour

dividing both side by 5/12

time taken to  5/12/ 5/12 of slab = 1/5/12 hour = 12/5 hours

time taken to 1/1 of slab = 12/5 hours = 2 2/5 hours

Thus,

it takes 2 2/5 hours to lay the full slab of concrete when Brian and Greg work together,

5 0
3 years ago
Hello I need help on the 4 questions please help thank you:D​
boyakko [2]

Step-by-step explanation:

1. simple interest

I= p × r × t

I = 1050 × 4.5 × 2

I = $9450

2. principal

p = I/(rt)

p= 22.50/ (3× 3)

p = 22.50/9

p = $2.5

3. simple interest

I= p × r × t

I = 500 × 5 × 3

I = $7500

4. time

first convert r to decimal

r= r/100, r= 3.5 / 100

r= 0.035

t = i/(pr)

t = 43.75/ (2500× 0.035)

t = 43.75/ 87.5

t = 0.5 year or 6 months

3 0
3 years ago
Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

4 0
3 years ago
Find the sum of the following series. Round to the nearest hundredth if necessary,
Aneli [31]

Answer:

sum =   \frac{a( {r}^{n - 1} )}{r - 1}   \\  : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 =  {2}^{n - 1}  \\  {2}^{n}  = 32768 \\  {2}^{n}  =  {2}^{15}  \\ n = 15 \\  \therefore \: sum =  \frac{3(2 {}^{15 - 1}) }{15 - 1}  \\  =  \frac{49152}{14}  \\  = 3510.9

3 0
3 years ago
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