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3 years ago

Solve the equation -4(x - 26) = -200

Mathematics

2 answers:

Naddik [55]3 years ago

3 0

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Alisiya [41]3 years ago

3 0

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

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A bank offers all savings accounts 5% interest compounded annually. If one account has a principal of $100 and another

arsen [322]

Answer:

From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days .

Step-by-step explanation:

Given as :

The principal for the first account = p = $100

The rate of interest = r = 5% compounded annually

The account gets double , so, Amount = A = $200

Let the time after which account gets double = t years

So<u>, From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\trxtrm rate}{100})^{\textrm time}$

As amount is double its principal

So, A = 2 × $100 = $200

Or, A = p × $(1+\dfrac{\trxtrm r}{100})^{\textrm t}$

Or, $200 = $100 × $(1+\dfrac{\trxtrm 5}{100})^{\textrm t}$

Or, $\dfrac{200}{100}$ = $(1.05)^{\textrm t}$

Or, 2 = $(1.05)^{\textrm t}$

Taking Log both side

$Log_{10}2$ = $Log_{10}(1.05)^{t}$

Or, 0.3010 = t $Log_{10}1.05$

Or, 0.3010 = t × 0.0211

∴ t = $\dfrac{0.3010}{0.0211}$

I.e t = 14.26

So, The time period to get account double is 14 years 26 days

<u>Again </u>

Amount = Principal × $(1+\dfrac{\trxtrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\trxtrm r}{100})^{\textrm t}$

As amount is double its principal

So, A = 2 × $1000 = $2000

Or, $2000 = $1000 × $(1+\dfrac{\trxtrm 5}{100})^{\textrm t}$

Or, $\dfrac{2000}{1000}$ = $(1.05)^{\textrm t}$

Or, 2 = $(1.05)^{\textrm t}$

Taking Log both side

$Log_{10}2$ = $Log_{10}(1.05)^{t}$

Or, 0.3010 = t $Log_{10}1.05$

Or, 0.3010 = t × 0.0211

∴ t = $\dfrac{0.3010}{0.0211}$

I.e t = 14.26

So, The time period to get account double is 14 years 26 days

Hence From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days . Answer

7 0

3 years ago

Please help! With explanation, thanks!

Ber [7]

45.6%, I think

If the angle was 45 degrees, then 50% of the circumference of the ice cream would be inside the cone.
But the real angle is 41. 41 = (41/45) * 45

So if we multiply 45 by 41/45, we get 41. In the same way, if multiply the "50%" by 41/45, we get the percentage of ice cream circumference that is in the cone.

50% * 41/45 = 45.6%

4 0

4 years ago

Please help ASAP! Will mark brainliest if correct :)

balu736 [363]

Answer:

Step-by-step explanation:

Your ratio is 24:8. This ratio simplified is 3:1. 4x3=12. x=12.

4 0

3 years ago

Read 2 more answers

Will put braniest to first who answers.

konstantin123 [22]

This problem asks for the surface area of the box, since the contact paper covers the outside (like wrapping paper). The box is 11 x 8 x 9, its length, width, and heighth respectively. And the formula for the surface area of the box is

SA = 2(lw + wh + hl)

SA = 2(11*8 + 8*9 + 9*11)

SA = 2(88 + 72 + 99)

SA = 2(259)

SA = 508 square inches

We are told the contact paper costs eight cents a square inch.

508 square inches x 8 cents / square inch

= $41.44 (the square inches divide out)

Thus, Erin spent $41.444 on contact paper.

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3 years ago

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What is ? In the following series? 3, -6, 12, 4, 20, ?

Dahasolnce [82]

Answer:

Step-by-step explanation:

3-9=-6 -9

-6+18=12 +18

12-8=4 -8

4+16=20 +16

20-7=13 -7

+14

-6

+12

7 0

3 years ago