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eduard
3 years ago
8

29+10j= -11 Find the value for j

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
29+10j=-11
-29 -29

10j=-40
/10 /10

J=-4

Hope I helped,
-CSX
Nezavi [6.7K]3 years ago
7 0
<span>29+10j= -11
</span><span>29+10j - 29 = -11 - 29 (subtract 29 to both sides)
10j = -40
10j/10 = -40/10 (divide both sides by 10)
j = -4


</span>
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I need help with 5-6 PLEASEEEE!! Also please excuse the answers cause I know it’s wrong
sergey [27]

Step-by-step explanation:

5.

angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.

above ST we have a group of 3 angles that combine to 180° :

2x + 8

90°

71 - x

so, to get x first :

2x + 8 + 90 + 71 - x = 180

x + 169 = 180

x = 11

so, the angle MTS =

2x + 8 = 2×11 + 8 = 22 + 8 = 30°.

6.

therefore, the angle STQ is

180 - angle MTS = 180 - 30 = 150°.

7 0
2 years ago
Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

5 0
3 years ago
Read 2 more answers
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aliina [53]

Answer:

2^6, 64

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8 0
3 years ago
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hoa [83]
Divide the number of decorations made in 3 and a half hours by 3.5.
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3 years ago
Each person walks to the other person's disc and throws it to the starting point. Where do you think the disc will land?
Vikki [24]

Answer: over the starting point

Step-by-step explanation:

8 0
3 years ago
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