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2 years ago

Anna dad is 36. He is 9 times as old as she is .how old is Anna?

Mathematics

2 answers:

pashok25 [27]2 years ago

8 0

Answer:

Anna is 4 years old.

Step-by-step explanation:

36 ÷ 9 = 4

Dad is 36 and to know Anna's age we need to divide by 9.

riadik2000 [5.3K]2 years ago

5 0

Answer:

let anna age be x

so x (9)= 36

so anna age = 36/9 = 4

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What is the fourth term in the binomial expansion of (2x – y) 7?

nata0808 [166]

Answer:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

Step-by-step explanation:

For this case we have the following expression:

$(2x-y)^7$

And we can use the binomial theorem given by:

$(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}$

And for this case we want to find the fourth term and using the formula we have:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

8 0

2 years ago

What is the answer for "a boat travels 4 miles in 4 hours (with a constant speed). how far can it travel in 2 hours (with the sa

ElenaW [278]

4 miles in 4 hrs.....4/4 =1...thats 1 mile per hr

for 2 hrs.....at 1 mile per hr = 2 miles <==

4 0

3 years ago

Each of these is a pair of equivalent ratios for each pair explain why they are equivalent A: 4:5 and 8:10

alisha [4.7K]

They are equivalent because 4:5 can both be multiplied by 2 making 8:10.

5 0

3 years ago

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou

storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?

We have the following compound interest formula

$P' = P*(1+\dfrac{r}{n})^{nt}$

$P' = 35000*(1+\frac{0,04}{4})^{4*5}$

$P' = 35000*(1+0,01)^{20}$

$P' = 35000*(1,01)^{20}$

$P' = 35000*(1.22019003995...)$

$P' \approx 42,706.66$

So the new principal P' after 5 years is approximately $42,706.66.

Subtracting the original principal from this amount gives the amount of interest received:

$P' - P = I$

$42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark$

________________________

I Hope this helps, greetings ... Dexteright02! =)

4 0

3 years ago

In the solution of the equation 5 + 3x = -2x + 9, 2 x is added to the equation first. which of the following should be done next

wariber [46]

Hi!

<h3>Let's do the first step (add 2x). </h3>

5 + 3x + 2x = -2x + 2x + 9

<h3>Our goal is to isolate x on one side, so the next step would be to subtract 5 (or add -5).</h3>

5 + -5 + 5x = 9 + -5

<h2>The answer is B. add -5</h2><h3><em>And if you want to finish solving, you would divide by 5 on both sides.</em></h3>

5x/5 = 4/5

x = 0.8

Hope this helps! :)

-Peredhel

4 0

3 years ago