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vova2212 [387]
3 years ago
5

Bob's monthly net income is $3,000. Bob pays $950 for rent, $250 for all

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

A: Negative cash flow, $50

Step-by-step explanation:

Bob makes $3000 a month.

Every month he has to pay $950:

3000 - 950 = 2050

Pay an additional $250:

2050 - 250 = 1800

And another additional $1850:

1800 - 1850 = -50

Therefore, he has a negative cash flow of $50 a month.

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A geometric sequence has second term 12 and fifth term 324. A) find common ratio b) calculate 10th term c) the kth term is the f
Alborosie

Answer:

a) find common ratio = 3

b) calculate 10th term = 78732

c) k = 7

Step-by-step explanation:

A geometric sequence has second term 12 and fifth term 324.

a) find common ratio

Common ratio = r

Hence

We solve for this below:

r = cube root(fifth term/second term)

r = cube root (324/12)

r = cube root (27)

r = 3

Therefore, the common ratio = 3

b) calculate 10th term

The formula for a geometric sequence is given as:

an = ar^n-1

Where

a = First term

r = Common ratio = 3

n = Nth term = 10

Step 1

We have to find the first term

Common ratio = Second term/First term

Common ratio = 3

Second term = 12

Hence:

3 = 12/x

Cross Multiply

3x = 12

x = 12/3

x = 4

Hence , First term = 4

Step 2

We find the 10th term

an = ar^n-1

a10 = 4 × 3^10 - 1

a10 = 4 × 3⁹

a10 = 4 × 19683

a10 = 78732

Therefore, the 10th term = 78732

c) the kth term is the first term that is greater than 2000. Find the value of K

For kth term,

ak = ar^k-1 >2000

a = 4, r = 3

Hence

4 × 3^k-1 > 2000

We divide both sides by 4

4 × 3^k-1/4 > 2000/4

3^k-1 > 500

We take the logarithm of both sides

log 3^k-1 > log 500

k-1 log 3 > log 500

Divide both sides by log 3

k-1 log 3/log 3 > log 500/log 3

k - 1 > 5.6567800693

k > 5.6567800693 + 1

k > 6.6567800693

k = 7

Therefore, k = 7

6 0
3 years ago
3a-28-7a=10a I don’t understand it
Lelechka [254]

Answer: a= -2

Step-by-step explanation:

its a = minus 2

5 0
3 years ago
What the slope-intercept form?<br><br> Slope, m = 2 <br> y-intercept, b = 5
Lorico [155]

Answer:

y = mx + b

so its

y = 2x + 5

8 0
3 years ago
Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $78 babysitting.
stealth61 [152]

Answer:

54$

Step-by-step explanation:

We know that for each 13$ Rob earns babysitting, he saves 9$. Thus, we can separate the money he earns into groups of 13, and for each group of 13, we can add 9$ to his savings.

Assume that Rob has 78$ lying on a table. He grabs 13 of them, leaving 65, and puts 9$ to the side for savings. He does this 5 more times (as 65 divided by 13 is 5, so Rob would make 5 groups of 13 out of his 65$ that is left), meaning that he now has 5+1  (the original group) = 6 groups of 9. 9*6=54, so he saves 54$. Please let me know if you have any further questions!

7 0
3 years ago
Which inequality represents this sentence?
Natasha2012 [34]
The last answer is correct
5 0
2 years ago
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