We can use the compound interest formula
F=P(1+i)^n
where
F=Future value of investment to be found
P=present value of investment ($1000)
i=interest per period (1/4 year)=0.04/4=0.01
n=number of periods (3 years * 4 quarters = 12)
Substitute or "Plug in" values, so to speak,
F=1000*(1+0.01)^12
use a calculator to do the sum
=1126.83 (to the nearest cent, and use the proper rounding rules)
Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer:
15. 17.5 ft
16. XZY ~ RPQ only
Step-by-step explanation:
15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.
__
16. Triangles are similar when they have all the same angles. In the given triangles, you have ...
angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)
angle Z = angle P = 64°
angle Y = angle Q = 84°
The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...
triangle XZY ~ triangle RPQ
<u><em>Answer</em></u>:
13.9
<em><u>Step-by-step explanation:</u></em>
<em>Use the Pythagorean Theorem </em>
x=13.85 round to the nearest tenth 13.9
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Answer:
The null and alternative hypothesis are:
There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Step-by-step explanation:
Consider the provided information.
The claim that the mean tornado length is greater than 2.6 miles.
If there is no statistical significance in the test then it is know as the null which is denoted by 
, otherwise it is known as alternative hypothesis which denoted by 
.
Therefore, the required null and alternative hypothesis are:
significance level α =0.05
From the given table the test statistic T=2.230166
P-value is 0.0131
0.0131<0.05
P value is less than the significance level, so reject the null hypothesis.
There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
