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2 years ago

A matatu carries 14 passengers per trip. In

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

6 0

Answer:

"23,520"

Step-by-step explanation:

one trip: 14 passengers

one day: 3 trips

passengers: 80

80x14= 1,120

1,120x3= 3,360

3,360x7= 23,520

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The aspect ratio (the ratio of screen width to

stira [4]

Answer:

$Width = 36in$

$Size = 42.02$

Step-by-step explanation:

Given

$x \to width$

$y \to height$

$x : y = 16 : 9$

Required

The size of $screen$ of height $20,6in$

First, we calculate the width using the following equivalent ratios

$16: 9 = x : 20.6$

Express as fraction

$\frac{16}{ 9} = \frac{x }{ 20.6}$

Solve for x

$x = 20.6 * \frac{16}{ 9}$

$x = 36.62$

Hence:

$Width = 36in$ --- approximated

So, we have:

$x = 36.62$

$y =20.6$

The size (diagonal) is then calculated using:

$Size = \sqrt{x^2 + y^2$

$Size = \sqrt{36.62^2 + 20.6^2$

$Size = \sqrt{1765.3844$

$Size = 42.02$

$Size =42in$ --- approximated

8 0

2 years ago

Having trouble solving this problem from my ACT prep bookIt is trigonometry

Reptile [31]

We need to convert 135.28º in degree, minute, and second measure.

In order to do so, notice that:

$135.28\degree=135\degree+0.28\degree$

Also,

$1\degree=60^{\prime}$

Thus, we have the proportion:

degrees minutes

1 60

0.28 x

Then:

$x=0.28\cdot60=16.8$

Thus:

$0.28\degree=16.8^{\prime}=16^{\prime}+0.8^{\prime}$

Now, notice that:

$1^{\prime}=60^{\doubleprime}$

Thus, we have the proportion:

minutes seconds

1 60

0.8 y

Then:

$y=0.8\cdot60=48$

Therefore:

$135.28\degree=135\degree16^{\prime}48^{\doubleprime}^{}$

And the first option is correct.

5 0

1 year ago

What is the unit price of 3.40 and 12

Yanka [14]

Answer:

Step-by-step explanation:

what kind of math is this?

7 0

2 years ago

Which of the following individuals best illustrates an extrinsic religious motivation?

Ivenika [448]

Rhonda who attends religious services in order to promote her business contacts

5 0

3 years ago

Suppose an individual makes an initial investment of $3,000 in an account that earns 6.6%, compounded monthly, and makes additio

makkiz [27]

Answer:

b) $17,400

d) $33,517.20

Step-by-step explanation:

a) $28,482.19 . . . . future value of all deposits

b) The initial deposit was $3000, and there were 144 deposits of $100 each, for a total of ...

$3000 +144×100 = $17,400 . . . . total deposited

c) $558.62

d) 60 monthly withdrawals were made in the amount $558.62, for a total of ...

60×$558.62 = $33,517.20 . . . . total withdrawn

_____

Additional information about (a) and (c)

(a) The future value of the initial deposit is the deposit multiplied by the interest multiplier over the period.

A = P(1 +r/n)^(nt) = 3000(1 +.066/12)^(12·12) = 3000·1.0055^144 ≈ 6609.065

The future value of $100 deposits each month is the sum of the series of 144 terms with common ratio 1.0055 and initial value 100.

A = 100(1.055^144 -1)/0.0055 ≈ 21,873.123

So, the total future value is ...

$6609.065 +21873.123 ≈ $28482.188 ≈ $28,482.19

(c) The withdrawal amount can be found using the same formula used for loan payments:

A = P(r/n)/(1 -(1 +r/n)^(-nt)) = $28482.19(.0055)/(1 -1.0055^-60) ≈ $558.62

7 0

3 years ago