MATHEMATICS HIGH SCHOOL

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 1
Answer:

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

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(x+3)y=14 which ordered pair is a solution to this equation ? A. 7,2 B 11,1 C 3,2 or D 5,2

Answers

The answer would be B.
Steps: 
1. Take your X coordinate and plug it into your equation where the X is.
2. Take your Y coordinate and plug it into your equation where the Y is.
3. Distribute your Y to your numbers in the parenthesis.
4. Finally add the two numbers together.
5. See if you got the same answer on both sides of the equal sign.
Hope this helps! (:
(x + 3)y = 14

We just test each option.

A.  x = 11, y = 1

(x + 3)y = 14

(7 + 3)*2 

10*2

20 = 14        This is not correct, so the option is wrong.



B.  x = 11, y = 1

(x + 3)y = 14

(11 + 3)*1 

14*1

14 = 14        This is correct, so the option is the correct.

So option B is the correct one.  No need to test the other options.

I hope this helps.

Can someone help me with this question and explain it?

Answers

Answer:

m∠1 = 90°

m∠2 = 53°

m∠3 = 37°

Step-by-step explanation:

The given diagram shows three straight lines intersecting at one point.

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Angle 1 is vertically opposite to the angle marked 90°. Therefore:

  • m∠1 = 90°

Angle 2 is vertically opposite to the angle marked 53°. Therefore:

  • m∠2 = 53°

Angle 3 is vertically opposite to the angle marked 37°. Therefore:

  • m∠3 = 37°

(I have a deadline in 3 hours :c ) Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $4.35 per pound, and type B coffee costs $5.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $780.90. How many pounds of type A coffee were used?

Answers

A=3B
4.35A+5.40B=780.95
Substitute 3B into A for the second equation:
4.35(3B)+5.40B=780.90
13.05B+5.40B=780.90
18.45B=780.90
B=42.33
Plug into equation 1:
A=3B
A=3(42.33)
A=126.98
The two equations would be:4.35a + 5.40b = 780.90and b = 3asubstitute:4.35a + 5.40(3a) = 780.90Multiply:4.35a + 16.2a = 780.90add like terms:20.55a = 780.9divide by 20.55:a = 38substitute into the other equation:b = 3(38)multiply:b = 114This means that 38 pounds of coffee were used for type A (variable a) and 114 pounds of coffee were used for type B (variable b)

Consider the following food chain: Plants are eaten by grasshoppers, which are eaten by mice, which are eaten by snakes. What would happen to the other members of the food chain if the plant population was wiped out?
a. The populations of grasshoppers, mice, and snakes would increase.
b. The populations of grasshoppers and mice would increase, while the population of snakes would decrease.
c. The populations of grasshoppers would decrease, while the population of mice and snakes would increase.
d. the number of plants will increase, the number of grasshoppers will increase, the number of snakes will increase

Answers

Answer;

-The populations of grasshoppers, mice, and snakes would decrease.

Explanation;

-The food web or a food chain describes the series of relationships that occur between predators and prey in an ecosystem.

-Several types of life forms form the food web. Green plants that can make their own food through photosynthesis are the web's producers. They form the bottom of the chain. Animals that get food from other animals and plants are consumers. Decomposers feed off dead plants and animals because decomposers cannot make their own food.

-If producers were removed in a food chain then, all the other animals in the food web would die too, because their food supplies would have died out. The populations of the consumers would fall as the population of the producer fell.

Answer:

B

Step-by-step explanation:
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