Sally uses her van to deliver boxes to shops.

Aperson invest 10,000 shillings for 40 months compounded monthly. Find the accumulated amount If the rate is 5% per annum.

yanalaym [24]

hi

monthly interest rate is : $\sqrt[12]{1.05}$

So in forty month there will be : 10 000 * ( $\sqrt[12]{1.05}$ )^40 ≈11 776,06

4 0

1 year ago

Please help me w/ this geometry question. image attached.

gladu [14]

<7 = <2 (Alternate exterior angles)

3x + 10 = 70

3x = 60

x = 20

Answer is the 2nd one

20

8 0

2 years ago

Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0

2 years ago

The table below shows four systems of equations:

Ede4ka [16]

To determine which system of equations would have the same solution, we evaluate each system of equations.

System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11

System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7

System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17

System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7


Therefore, the correct answer is option 3. System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.

4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4

4 0

3 years ago

the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.

Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

6 0

2 years ago