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3 years ago

9

Brad wants to open new savings account. He finds one that returns 3% on his investment each year. Use variables to write a formu

la for the balance after 3 years

1 answer:

yawa3891 [41]3 years ago

5 0

Use the formula p=rt. principle equal rate times time.
I hope this helped you out

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Find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2

fiasKO [112]

Hi!

$3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}$

5 0

3 years ago

An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit

TiliK225 [7]

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = $\sigma = 50$

Sample size = $n$

STd error of sample mean = $\frac{50}{\sqrt{n} }$

Margin of error for 95% would be Critical value ( std error)

Here since population std dev is known we can use Z critical value= 1.96

$1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16$

Sample size should be atleast 385

5 0

3 years ago

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price

Over [174]

$\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}$

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

$\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}$

$\large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}$

$\large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}$

$\large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}$

$\large{ \tt{⇢ \: 113 \: SP = 406800}}$

$\large{ \tt{⇢ \: SP = \frac{406800}{113} }}$

$\large{ \tt{⇢ \: SP = 3600}}$

Hence , SP = Rs 3600

$\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}$

Let Marked Price [ MP ] be x.

$\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}$

$\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}$

$\large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}$

$\large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}$

$\large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}$

$\large{ \tt{⇾ \: 90x = 360000}}$

$\large{ \tt{⇾ \: x = \frac{360000}{90} }}$

$\large{ \tt{⇾ \: x = Rs \: 4000}}$

$\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}$

Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)

6 0

3 years ago

1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will aff

nasty-shy [4]

Answer:

Increase by $145

Step-by-step explanation:

= $ (x + 145 + 145)

= $ (x + 290)

5 0

3 years ago

Write equations for the vertical and horizontal lines passing through the point (-3,-8).

Gelneren [198K]

Answer:

Horizontal: y=-8

Vertical: x=-3

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers