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crimeas [40]
3 years ago
14

Solve the linear equation

le="4^{x+7} = 8^{2x-3}" alt="4^{x+7} = 8^{2x-3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

8^(2x-3) = 2^3(2x-3)

2^2(x+7) = 2^3(2x-3)

Since the bases are the same;

2(x+7) = 3(2x-3)

2x + 14 = 6x -9

14 + 9 = 6x - 2x

23 = 4x

x = 23/4

<u>x = 5.75</u>

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For a standard normal distribution, which of the following variables always equals 1?
STatiana [176]

Answer:

Z=1

Step-by-step explanation:

5 0
3 years ago
Katie walked ⅚ mile on Saturday. It took her 10 mins to walk ⅙ mile. She took 1 minute breaks in between each ⅙ mile. How long d
Gennadij [26K]

Answer:

it took her 54 mins to finish her walk.

Step-by-step explanation:

Given;

total distance walked by Katie, d = ⁵/₆

time taken to walk ¹/₆ mile = 10 mins

break time = 1 min

There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.

Time for the first  ¹/₆ mile  = 10 mins +

                    break time = 1 min

Time for the second  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the third  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the fourth  ¹/₆ mile  = 10 mins +

                     break time = 1 min  

Time for the fifth  ¹/₆ mile  = 10 mins

Total time = 5 (10 mins)  + 4 (1 min)

                 = 50 mins + 4mins

                = 54 mins

Therefore, it took her 54 mins to finish her walk.

                   

3 0
3 years ago
Is this polygon a trapezoid?
ale4655 [162]

Answer:

YES

Step-by-step explanation:

definition is one pair of parallel sides

6 0
3 years ago
Read 2 more answers
Help me with my math!!!!!!!!!!
shusha [124]

Answer:

I got u

Step-by-step explanation:

6 0
3 years ago
Betty decides to set aside $200/month. If her monthly 401(k) savings are earning 5.4% APR compounded monthly, what will the bala
Tatiana [17]

Answer:

(9) $339076.60 (10) $72000 (11) $220800

Note: Kindly find an attached copy of the complete question given below. i solved for 9,10,11 only.

Step-by-step explanation:

Solution

Given that:

Betty set aside $200/month

With a 401 (k) savings

t = 40 years

APR = 5.4%

Now we find the balance in her account after 40 years.

Now,

A = PMT [(1 +r/n)^nt -1]/(r/n)

A = 200 [ (1 + 0.054/12)^(12)(40) - 1]/(0.054/12)

A= $339076.60

(10) Recall that:

t = 40 years

Per month deposit = $150 dollar

The total deposit becomes

t = 40 * 12 = 480 Month

Total deposit = 480 * 150

=$72000

(11) Now we find the less money she received in her paychecks

Thus

Without monthly saving paycheck is =$2300

Now,

For 40 years becomes = $2300 * 40 * 12

=$1,104000

So,

20% of tax deducted = 20/100 * $1,104000

=$220800

Therefore the less amount received in 40 years is $220800

Note:( My research for the complete question was from quiz let, chegg)

3 0
3 years ago
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