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2 years ago

Tom has saved $390. He plans to spend $30 each month for music lessons. The function

Mathematics

1 answer:

Lena [83]2 years ago

5 0

Answer:

x is the months because that is the amount of time he has before he runs out of savings and y Is the savings because that is what he is calculating

Step-by-step explanation:

You might be interested in

What is the sum 13094 + 259728 ?

SpyIntel [72]

13094
+259728
=272822 and that is your answer

3 0

3 years ago

Read 2 more answers

The units’ digit of a two-digit number is 5 more than the tens’ digit, and the number is three times as great as the sum of the

solniwko [45]

Answer:

The number is 27

Step-by-step explanation:

Let the 10s digit be x

Let the units digit be y

y = x + 5

10x + y = 3(x + y) Remove the brackets

10x + y = 3x + 3y Substitute the x + 5 into the second equation for y

10x + x + 5 = 3x + 3(x + 5) Remove the brackets on the right.

10x + x + 5 = 3x + 3x +15 Collect like terms on each side.

11x + 5 = 6x + 15 Subtract 5 from both sides

11x + 5 - 5 = 6x + 15 - 5 Collect like terms

11x = 6x + 10 Subtract 6x from both sides

11x - 6x = 6x - 6x + 10

5x = 10 Divide by 5

5x/5 = 10/5

x = 2

y = x + 5

y = 2 + 5

y = 7

3 0

3 years ago

Brian invests £4900 into his bank account.

True [87]

Answer:

£5200.68

Step-by-step explanation:

<u>Given:</u>

Investment P = £4900
Interest rate r = 1.5% or r = 0.015
Time t = 4 years
Number of compounds per year n = 1

<u>Find the future amount:</u>

$F = P*(1+r/n)^{nt}\\$
$F = 4900*(1+0.015/1)^{1*4}=4900*1.015^4 = 5200.68$

6 0

2 years ago

Read 2 more answers

Marianna [84]

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Step-by-step explanation:

Let us revise some logarithmic rules

$log(a)^{n}=nlog(a)$
$log(ab)=log(a)+log(b)$
$nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]$

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴ 10 log(x) = $log(x)^{10}$

- Then re-write 5 log(64)

∴ 5 log(64) = $log(64)^{5}$

∴ 10 log(x) + 5 log(64) = $log(x)^{10}$ + $log(64)^{5}$

- Use the 3rd rule above to make it single logarithm

∵ $log(x)^{10}$ + $log(64)^{5}$ = $log[(x)^{10}][(64)^{5}]$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(64)^{5}]$

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as $2^{6}$

∴ $(64)^{5}=(2^{6})^{5}$

- Multiply the two powers of 2

∴ $(64)^{5}=(2)^{30}$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(2)^{30}]$

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

Please hurry!!!!! Also urgent!!!!

vekshin1

Answer:

x=4

Step-by-step explanation:

20x+5+24x-1=180

44x=176

x=4

7 0

3 years ago