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2 years ago

Mr Tan invested $5000 in an endowment fund for

Mathematics

1 answer:

pochemuha2 years ago

8 0

Answer:

Compound Interest Formula Solved For Rate:

log (1 + rate) = {log(total) -log(Principal)} ÷ Years

log (1 + rate) = {log(5,800) -log(5,000)} ÷ 5

log (1 + rate) = [3.7634279936 -3.6989700043] / 5

log (1 + rate) = 0.0644579893 / 5

log (1 + rate) = 0.0128915979

Then we raise 10 to the power of 0.0128915979 which equals

1.0301289629 = 1 + rate

Therefore, rate = .0301289629 and we multiply by 100 to make a percentage:

3.01289629 %

Source: https://1728.org/compint2.htm

https://1728.org/compint.htm

Step-by-step explanation:

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3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p

otez555 [7]

Answer:

Option B.

Step-by-step explanation:

Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).

We need to find the measure of ∠JHN.

$\angle MHL=\angle JHK$ (Vertical opposite angles)

$\angle MHL=\angle JHN+\angle KHN$

Substitute the given values.

$3x+20=(x+20)+(x+25)$

$3x+20=2x+45$

$3x-2x=45-20$

$x=25$

The value of x is 25. So, the measure of ∠JHN is

$\angle JHN=x+20=25+20=45$

The measure of ∠JHN is 45°.

Therefore, the correct option is B.

9 0

2 years ago

Read 2 more answers

Negative 120 divided by 15

madreJ [45]

-120 ÷ 15 = -8.

Hope this helps.

8 0

2 years ago

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If quadrilateral PQRS is a rectangle, then which of the following is true?

brilliants [131]

∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A. ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴ m∠PSQ ≠ m∠QSR

∴ ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

∵ PR intersects QS at point T

∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

8 0

2 years ago

Read 2 more answers

Linear Pairs and Vertical Angles

goblinko [34]

Answer:

angles 1 and 3 are 29 degrees

angles 2 and 4 are 151 degrees

Step-by-step explanation:

make angles 1 and 3 equal echo there and solve for x

use x to find the angle

3 0

2 years ago

If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3

Ghella [55]

Answer:

Joint variation says that:

if $x \propto y$ and $x \propto z$

then the equation is in the form of:

$x = kyz$ , where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

$x=k(yz)$ ......[1]

Solve for k;

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

$8=k(4 \cdot 9)$

⇒ $8 = 36k$

Divide both sides by 36 we have;

$\frac{8}{3}=k$

Simplify:

$k = \frac{2}{9}$

⇒ $x = \frac{2}{9}yz$

to find z when x = 16 and y = 6

Substitute these value we have;

$16 = \frac{2}{9} \cdot 6 \cdot z$

⇒ $16 = \frac{12}{9}z$

Multiply both sides by 9 we have;

$144 = 12z$

Divide both sides by 12 we have;

12 = z

z = 12

Therefore, the value of z is, 12

7 0

2 years ago

Read 2 more answers