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3 years ago

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write an equation to find the number, x.

Mathematics

2 answers:

adell [148]3 years ago

7 0

The equation would be x+5*-2=6.

The result of that equation would be x=16

butalik [34]3 years ago

6 0

X+5-(-2)=6
Subtract 5 from 5 and 6 which will give you x+(-2)=6 then subtract -2 which gives you x=8

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A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove

Anna11 [10]

<u>Answer:</u>

The amount lost over the 3 years s 2567.25£

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

I = initial value of the car in 2017 = £18000 (given)

Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$

= $18000 \times\left(\frac{95}{100}\right)^{3}$

= 15432.75£ which is the value of the car after 3 years

Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.

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3 years ago

Determine whether the sequence an=n312+n322++n3n2 converges or diverges. If it converges, find the limit.

strojnjashka [21]

Perhaps it suffices to say that

$\displaystyle\frac1{1^2}+\cdots+\frac1{n^2}=\sum_{k=1}^n\frac1{k^2}$

converges to $\frac{\pi^2}6$ as $n\to\infty$ , while $n^3\to\infty$ . Then

$\displaystyle\lim_{n\to\infty}a_n=\infty\cdot\frac{\pi^2}6=\infty$

so $a_n$ diverges.

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3 years ago

Sandra 11.2 kilometers after school while her brother ran 8000 meters who ran more ?

Kobotan [32]

Answer:

Sandra ran more. She would have ran a total of 11,200 meters. While her brother only ran 8,000 meters. Now to find excatly how much did she go? Well subtract 11,200-8,000 to get an answer of 3200. So Sandra ran 3,200 meters father then her brother.

Step-by-step explanation:

Hope This Helps

Have A Great Day

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3 years ago

Twice a number decreased by 22 is 48. What is the number?

klemol [59]

Answer:

Given - Twice a no. decrease by 22 is 48

To find - The no.

Solution -

Let the no. be X

According to the question, equation made is -

2x - 22 = 48

2x = 48 + 22

2x = 70

x = 70/2

X= 35

Verification -

35 ×2 - 22 = 48

70 - 22 = 48

48= 48

LHS = RHS

hence proved

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