MATHEMATICS HIGH SCHOOL

Evaluate ÷x+2 for x=49
12
2
9
15 ​

Answers

Answer 1
Answer:

Answer:12

Step-by-step explanation:but you cant divide by nothing

Answer 2
Answer: 12 because you can’t divide anything

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Tangent Ratio.
Find the missing side. Round to the nearest Tenth.

Answers

Know that:

sin(β)=Opposite/Hypotenuse

Therefore:

sin(54)=x/10

Therefore:

x=10*sin(54)

x=8.1 (To the nearest tenth)

Which pair of equations represents two perpendicular lines?A. y=-7/8x+3 and -7y=-8x
B. 8y=3x+40 and y=8/2x-1
C. 5y=15-2x and 2/5x-4=y
D. y=9x+3 and y=9x-1/3

Answers

I am pretty sure that the answer is A. because the slopes are reciprocals of each other, and so they are perpendicular

Mary deposits R400 every three months into a bank account earning interest at 16% per year, compounded quarterly. The approximate time that it will take Mary to save R40000 is

Answers

Answer:

The approximate time that it will take Mary to save R40000 is 29 years

Step-by-step explanation:

A= p(1+r/n)^nt

t = log(A/P) / n[log(1 + r/n)]

A = R40000

n = 4

P = R400

r = 16%

t = log(A/P) / n[log(1 + r/n)]

= log(40,000 / 400) / 4{log(1+0.16/4)}

= log(100) / 4{log(1+0.04)}

= 2 / 4{log(1.04)}

= 2 / 4(0.0170)

= 2 / 0.068

= 29.41

t = 29.41 years

Approximately 29 years

The approximate time that it will take Mary to save R40000 is 29 years

In an investment account what if $2000 is invested. What is the value after 3 years if compounded monthly by 6% ?

Answers


Compound interest formula  A = P(1 +r/100)^n
A = Amount
r = rate = 6
n = number of compounding time.
P = Principal = $2000.
Since we are compounding monthly, r = 6% p.a = (6/12)% per month.
n= 3 years = 3*12 = 36 months.
Note that  since we are compounding monthly, our time would be in months.
A = P(1 +r/100)^n
A = 2000 * (1 + (6/12)/100 )^36
A = 2000 * (1 +  6/1200)^36
A = 2000 * (1 +  0.005)^36    Use your calculator
 A = 2000 * (1 .005)^36 = 2393.36
Amount = $2 393.36
That's it. Cheers.

Multiply
2y-2u9•3y9•u6
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

this is you answer solved.

Please help me as soon as u can!!

Urgent


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Answers

Q2 Answer: Experimental = 60%, difference = 10%

Step-by-step explanation:

The prime numbers between 1 and 8 are: 2, 3, 5, and 7.

Theoretical: (4(prime))/(8(total)) = 50\%

Experimental: (12(prime))/(20(total)) = 60\%


    Experimental - Theoretical

=       60%            -      50%

=                     10%

Problem 1

To find the sample mean, we simply add up all the 40 items and then divide by 40

I will add up the values row by row, and then add up the subtotals to get the grand total

row1: 39+31+38+40+29 = 177

row2: 32+33+39+35+32 = 171

row3: 32+27+30+31+27 = 147

row4: 30+29+34+36+25 = 154

row5: 30+32+38+35+40 = 175

row6: 29+32+31+26+26 = 144

row7: 32+26+30+40+32 = 160

row8: 39+37+25+29+34 = 164

Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292

Divide this over 40: 1292/40 = 32.2

So the sample mean is therefore 32.2

-----------------------

To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.

Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05

-----------------------

In summary, 32.2 will go in the first box while 0.05 will go in the second box.

========================================

Problem 2

There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability

This is the list of values given to us (I broke it up to help make the numbers more readable)

3, 4, 5, 2, 7

1, 3, 7, 2, 6

2, 1, 7, 3, 6

1, 8, 3, 5, 6

Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%

Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)

-----------------------

In summary, 60 will go in the first box while 10 will go in the second box.
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