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Aliun [14]
2 years ago
12

The sum of 4 consecutive integers is 406. find the integers

Mathematics
2 answers:
BabaBlast [244]2 years ago
8 0

Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

<u>The answer is:</u>

100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

<u><em></em></u>

<u><em>I hope this helps!</em></u>

gulaghasi [49]2 years ago
8 0

Answer:

Step-by-step explanation:

let the numbers be n,n+1,n+2,n+3

n+n+1+n+2+n+3=406

4n+6=406

4n=406-6=400

n=400/4=100

then the numbers are

100,100+1,100+2,100+3

or

100,101,102,103

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Colin invests £3300 into his bank account.
lorasvet [3.4K]

Answer:

$3714.18

Step-by-step explanation:

From the question;

Amount invested is $3300

Rate of interest 3% per year compound interest

Time is 4 years

We want to determine the amount that accrued after 4 years

In this case we are going to use the compound interest formula;

That is;

A=P(1+(\frac{R}{100})^nwhere A is the amount, P is the principal , r is the rate of interest and n is the time taken.

Therefore;

Amount=3300(1+(\frac{3}{100})^4\\             = 3300(1.03)^4\\             = 3300(1.1255)\\             = 3,714.179

= $3714.18

Therefore, the amount accrued after 4 years is $3714.18

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3 years ago
Complete the sentence.
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2 years ago
PLS HELP!!<br><br> What values of u and v make triangle XYZ = Triangle GFH
Katarina [22]

Answers:

u = 18

v = 20

========================================================

Work Shown:

The leg YZ is congruent to the left FH

This means YZ = FH and that leads to u+v-18 = 10u-8v

The hypotenuse ZX is congruent to the hypotenuse HG

This means ZX = HG and we get the equation 14v-14u+32 = v+u+22

----------------------

The system of equations we have so far is

u+v-18 = 10u-8v

14v-14u+32 = v+u+22

Let's get the equations into standard form

Start with the first equation

u+v-18 = 10u-8v

u+v = 10u-8v+18

u+v-10u+8v = 18

-9u+9v = 18

-9(u-v) = 18

u-v = 18/(-9)

u-v = -2

Note how we can solve for the variable u to get

u = v-2

which we'll use later

----------------------

Let's get the other equation into standard form as well

14v-14u+32 = v+u+22

14v-14u-v-u = 22-32

-15u+13v = -10

Now plug in u = v-2 and solve for v

-15u+13v = -10

-15(v-2) + 13v = -10

-15v+30+13v = -10

-2v+30 = -10

-2v = -10-30

-2v = -40

v = -40/(-2)

v = 20

Which means,

u = v-2

u = 20-2

u = 18

3 0
2 years ago
A number is 5. Do you know it’s square?
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Answer:

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