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3 years ago

Correct answers only please!

Mathematics

1 answer:

seropon [69]3 years ago

8 0

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

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How do you get the answer to this problem? (2^3)(2^-7)

postnew [5]

(2^3)=2*2*2=8
(2^-7)=1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/128
8*1/128=1/16=.0625

7 0

3 years ago

Find YQ if MQ = 3x-3 and YQ = 2x-6.

Alina [70]

Answer:

• Assume Q is a mid point of line MY

${ \underline{ \sf{ \: _{l} M \: \: \: \: \: \: \: \: _{l} Q \: \: \: \: \: \: \: \: _{l}Y}}}$

• Then, MQ = YQ

${ \rm{(3x - 3) = (2x - 6)}} \\ \\ { \rm{3x - 2x = - 6 + 3}} \\ \\ { \boxed{ \rm{ \: x = - 3 \: }}}$

5 0

2 years ago

Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

By robot A

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

By robot B

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

By working together

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

4 0

3 years ago

Read 2 more answers

What is the sum of all of the four-digit positive integers that can be written with the digits 1, 2, 3 and 4 if each digit must

wel

Answer with explanation:

Number of four digit numbers using four distinct digit

=Unit placed can be filled in four ways * Tens place can be filled in Three ways * Hundreds place can be filled in 2 ways * Thousand Place can be filled in a single way

=4*3*2*1

=24 distinct numbers

Sum of all four , four digits numbers using 1,2,3,4

= (If we keep 4 at unit place +Keeping 3 at unit place +Keeping 2 at unit place+Keeping 1 at unit place)×6+At tens place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At hundred's place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At thousand's Place(2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)

=(24+18+12+6)Unit place+(60)Ten's place +(60)Hundred's place+(60)Thousand's Place

=66660

7 0

3 years ago

Which expression is equivalent to 8 (9 + x)?

jasenka [17]

Answer:

72 + 8x

you would multiply 8 by 9 + x

5 0

3 years ago