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2 years ago

Please help me with the problem below.

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

3 0

Answer:

67.5 cm^2

Step-by-step explanation:

we know the length and width of the rectangle and the triangle in the compound shape.

The area of the rectangle is 10 times 5 = 50

the area of the triangle is

17-10 = 7

7 times 5 is 35

35/2 = 17.5

50 plus 17.5 = 67.5 cm^2

IrinaK [193]2 years ago

3 0

Answer: 67.5

Step-by-step explanation: Since this is a irregular shape, you have to split the two shapes. The rectangles area is 50, and the triangles is 17.5.

To find the area of a triangle multiply 1/2 × base × height

To find the area of a rectangle multiply base × height

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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

$A = P(1 + \dfrac{r}{n})^{nt}$

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

$t = \dfrac{\log 2}{4\log 1.000625}$

$t = 277$

For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0

3 years ago

Which wheelchair would be more difficult to stop? (check one)

Veronika [31]

Answer: less massive wheelchair?

Step-by-step explanation:

4 0

3 years ago

Subtitute 2x+y=7 and 3x-y=8

olga nikolaevna [1]

2x + y =7 (1)
3x-y=8 (2)

(1) + (2)

5x = 15
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6 0

4 years ago

1. Algebra Find the values for x and y in ABCD.

Marta_Voda [28]

ANSWER

x=12, y=10

EXPLANATION

The diagonals of a parallelogram bisect each other.

This implies that;

AE=EC

$4x = 5y - 2$

$4x - 5y = - 2...(1)$

Also, DE=EB;

$2x = y + 14$

$y =2x - 14...(2)$

Put equation (2) in (1).

$4x - 5(2x - 14) = - 2$

Expand;

$4x - 10x + 70 = - 2$

$- 6x = - 72$

$x = 12$

Put x=2, into equation (2).

$y = 2(12) - 14$

$y = 10$

3 0

3 years ago

Suppose Q and R are independent events. Find P(Q and R). P(Q) = 0.87, P(R) = 0.51

eimsori [14]

Answer:

0.4437

Step-by-step explanation:

First we will define independent events.

Two events are said to be independent when the occurrence of one event doesn't affect the probability of occurrence of second event.

Given

P(Q)=0.87

and

P(R)=0.51

The probability of independent events is given as:

P(Q∩R)=P(Q)*P(R)

=0.87*0.51

=0.4437

So the probability of Q and R is 0.4437 ..

5 0

3 years ago