if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
Reorder the premises to show that the conclusion follows as a valid consequence from the premises. You may restate them in if-then form or by their contrapositives. (5 pts)
(a) Things that taste good are expensive.
(b) Things that smell good taste good.
(c) Every object to the left of the tree is blue.
(d) All blue objects smell good. :.
Every object to the left of the tree is expensive.
Step-by-step explanation:
For this question, what we have to do is to rewrite and form some of these statements with their contrapositives
here is the reordering;
1. if Object is at the left of the tree, then it is blue
2. If the object is blue then it smells good.
3. If thus thing smells good then it tastes good.
4. If it tastes good then it is expensive
∴ every object to the left of the tree is expensive
At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Answer:
6 meters
Step-by-step explanation:
Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6
The table shows the results of an experiment in which the spinner shown above was spun 50 times. Find the experimental probability of each outcome.
not shaded
Answer:
[tex]P(x < 4) = \frac{9}{50}[/tex]
Step-by-step explanation:
Given
[tex]n(S) = 50[/tex]
See attachment for distribution
Required
[tex]P(x < 4)[/tex]
This is calculated as:
[tex]P(x < 4) = \frac{n(1) + n(2) + n(3)}{n(S)}[/tex]
Using the data on the frequency distribution table, we have:
[tex]P(x < 4) = \frac{4 + 2 + 3}{50}[/tex]
[tex]P(x < 4) = \frac{9}{50}[/tex]
A factory manufactures motorcycles. One of its employees, working in the quality control department, checks the first 10 and the last 10 motorcycles manufactured in a day. This is what type of sampling?
Answer:
Convenience sampling
Step-by-step explanation:
When sampling is done based in degree of ease or samples picked from observations that are easily accessible rather than prioritizing randomness or selection which will most be representative of the population, then such sampling is called convenience sampling. In some texts, it is also referred to as grab sampling as researchers choose from close, easy to reach samples. In the scenario above, the quality control takes the easy procedure of checking the first and last 10 motorcycles as this is easier than having to take samples at random tune intervals which will be a better representation of the entire motorcycles.
Can somebody help me with this question
Answer:
y = -⅓x + 7
Step-by-step explanation:
Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).
The equation would be written in the form of y = mx + b (slope-intercept form):
✔️Find m:
Slope (m) = change in y/change in x
Slope using (3, 6) and (-3, 8), would be:
Slope (m) = (8 - 6)/(-3 - 3) = 2/-6
m = -⅓
✔️Find b:
Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b
6 = -⅓(3) + b
6 = -1 + b
6 + 1 = b
b = 7
✅Write the Equation:
Substitute m = -⅓ and b = 7 into y = mx + b
Thus,
y = -⅓x + 7
help me pleaseeeeeeeeeeeee
Answer:
|7000 - w| < 1000
Step-by-step explanation:
6000 < w < 8000
Subtract 7000 from the three "sides."
-1000 < w - 7000 < 1000
|w - 7000| < 1000
|7000 - w| < 1000
If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9
Answer:
4x2-9
Step-by-step explanation:
it would be that because the number is in the c acis
Find the volume of the prism.
One day a store sold 36 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. In all, $404.65 worth of sweatshirts were sold. How many of each color were sold?
The store sold ____ white sweatshirts
Answer:
17 white sweatshirts were sold and 19 yellow sweatshirts were sold.
Step-by-step explanation:
Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.
We can write a system of equations to represent the situation.
Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:
[tex]y+w=36[/tex]
And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:
[tex]10.95w+11.5y=404.65[/tex]
Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:
[tex]y=36-w[/tex]
Substitute this into the second:
[tex]10.95w+11.5(36-w)=404.65[/tex]
Distribute:
[tex]10.95w+414-11.5w=404.65[/tex]
Simplify:
[tex]-0.55w=-9.35[/tex]
Divide both sides by -0.55:
[tex]w=17[/tex]
So, 17 white sweatshirts were sold.
Using the modified equation, substitute:
[tex]y=36-(17)=19[/tex]
Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.
How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!
Answer:
You are fortunate that there are several excellent algorithms textbooks on the market. Many of them (including Introduction to Algorithms) have material on not just the algorithms, but the techniques you can use to develop algorithms. I recommend that you learn techniques such as divide-and-conquer, dynamic programming, greedy algorithms, and amortized analysis.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
When trying to solve a certain problem, different strategies must be applied that have the ability to solve the question in the most favorable way.
Thus, as a first step, the problem that is taking place, and the severity of it, must be identified. Then, proposals for solving the problem must be prepared, considering the pros and cons of each one, as well as their eventual cost. Subsequently, a main option and a plan B must be chosen with which to solve the question. Finally, the resolution plan must be executed.Learn more in https://brainly.com/question/7208889
how do you write .00057 1/2 in words
Answer:
Step-by-step explanation:
visit the following;
https://sciencing.com/write-fractions-words-4443134.html
look at pic 10 pts will mark brainilest zion ihsjzxu
Answer:
36
Step-by-step explanation:
You first solve 6x=72 which you divide 72/6 and get the answer x=12. You then replace x with 12 and do the order of operations. 12-3 then 9x4.
Answer:
Multiply using the distributive property.
B.
Please mark brainliest!
please show your work
Surface area of 5 sides of square = 5a²= 5×8.2×8.2=336.2 Cm²
Surface area of pyramid= a²+2a √a²/4+h²= 8.2²+2×8.2√67.24/4+ 4.41= 142.79
Surface area of composite shape = 336.2+142.79-67.24= 411.75~ 411.8 Cm² !
If the length of EG is 22, find the length of a EQ
Answer:
A. 11
Step-by-step explanation:
EQ is half of EG
so 22/2 = 11
How many prime numbers less than 20
Answer:
Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19
Step-by-step explanation:
ally and bo share 60$ in the ratio 1:4 how much money does bo get
Answer: $240
Step-by-step explanation:
So 60 represents the 1, so multiply 60 by 4
How long would it take to fill up 480cm3 pool at 25litres a min
Answer:
the answer is 8cm i think
The sum of three numbers is 28. The second number is three times the first and the third is 7 less than the second. What are the numbers
Equation:
x+3x+3x-7=28
Solving:
3x+3x+x=7x
7x-7=28
7x=28+7
7x=35
x=5
Plug 5 into the equations and you’ll get:
First term = 5
Second term = 15
Third term = 8
1.05^x=2
Solve for x
1.05^x = 2
Apply export rule ( logarithm s)
Xln1.05 = ln2
Divide both sides by ln1.05
X = ln2/ln1.05
X = 14.206
Round the answer as needed.
given the image below which segments are congruent
Answer:
-2+6=4
0+6=6
4+6=10
x+2=2. x=2-2. x=0
Step-by-step explanation:
hope this is helpful
The box plots below show the math scores of students of two different classes, which statement is correct
Answer:
B
Step-by-step explanation:
Given the data:
Class A 55 72 75 89 95
Class B 55 70 75 94 100
CLASS A :
Minimum - 55
Lower quartile - 72
Median - 75
Upper quartile - 89
Maximum - 95
CLASS B :
Minimum - 55
Lower quartile - 70
Median - 75
Upper quartile - 94
Maximum - 100
Evaluating the statements given :
The median score of Class A is greater than the median score of Class B.
Median A = 75 ; Median B = 75 (median are equal), hence, A is not true
The lower quartile of Class A is greater than the lower quartile of Class B.
Lower quartile A = 72 ; Lower quartile B = 70 (A is greater than B) , hence, B is true
The upper quartile of Class A is greater than the upper quartile of Class B.
Upper quartile A = 89 ; Upper quartile B = 94 (A is less than B) , hence, statement is not true
The maximum score of Class A is greater than the maximum score of Class B.
Maximum A = 94 ; maximum B = 100 ; A < B ; Hence, statement is not true
In a sample of 230 teenagers, 202 would like to have smaller class sizes at their school. Find the sample
proportion, the margin of error, and the interval likely to contain the true population proportion. If
necessary, round your answers to the nearest percent.
Answer:
The sample proportion is 0.88.
The margin of error is of 0.04.
The interval likely to contain the true population proportion is (0.84,0.92).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Margin of error:
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.
This means that [tex]n = 230[/tex], and that the sample proportion is:
[tex]\pi = \frac{202}{230} = 0.88[/tex]
The sample proportion is 0.88.
Standard 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.88*0.12}{230}}[/tex]
[tex]M = 0.04[/tex]
The margin of error is of 0.04.
Confidence interval:
Sample proportion plus/minus margin of error. So
0.88 - 0.04 = 0.84
0.88 + 0.04 = 0.92
The interval likely to contain the true population proportion is (0.84,0.92).
Simply the following ratio 1000:540:780
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
Answer: 1.5 < x < 4
Step-by-step explanation:
at 90kph, how far do you travel in 6 hours
Answer:
540 km
Step-by-step explanation:
You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km
Help please!!! I don’t understand this question
Answer:
B) ASA - angle side angle
Hope it help
Find the value of x to the nearest tenth
Answer:
a^2+b^2=c^2
6^2+6^2=72
square root of 72
=8.49(3sf)
c^2-b^2=a^2
=3
x=3
answer : 3
step by step:
this may seem hard but it is easy.
the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:
name the hypotenuse x
then write the equation
x^2= 6^2 + 6^2
x^2= 72
take both the square root of them
x = 8.5
next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x
first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:
x^2 = 9^2 - 8.5^2
x^2 = 8.75
take square root of both
x = 3
the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Answer:
250 berries
Step-by-step explanation:
berries : oranges
10 1
We have 25 oranges so we need to multiply each side by 25
berries : oranges
10*25 1*25
250 25
There are 250 berries
4x(a-b)+3(b-a) factorise
Answer:
-(a-b) (3-4x). hope this helps