Answer:
<em>She invested 1600 at 8% (to get the shown $160 interest)</em>
<em>and $7400 at 10% (to get the shown 640 interest)</em>
<em>If x = 4000 then $80 interest is x2 again = $160</em>
<em>and so forth $320 interest x 2 again = $640</em>
Step-by-step explanation:
<em>The format would always be for x and then where </em>
<em>investment - x = interest we can work out totals this way and find x.</em>
<em>9000-x = 800 is first equation and substituted into 2nd equation;</em>
<em>0.10x+0.08(9000−x)=800</em>
<em>Use the distributive property to multiply 0.08 by 9000−x.</em>
<em>0.10x+720−0.08x=800</em>
<em>Combine 0.10x and -0.08x to get 0.02x.</em>
<em>0.02x + 720 = 800</em>
<em>Subtract 720 from both sides.</em>
<em>0.02x=800−720</em>
<em>Subtract 720 from 800 to get 80.</em>
<em>0.02x=80</em>
<em>Divide both sides by 0.02.</em>
<em>x= 80 / 0.02</em>
<em>Make decimals numbers = 1 or above.</em>
<em>80 / 0.02 x 100</em>
<em>x= 8000 / 2</em>
<em>x = 4000</em>
Answer:
G= 93 to 147
Step-by-step explanation:
From the question we are told that
Mean x = 120
Standard deviation o = 9
Percentage for men =99.75%
Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 9
Mean x= 120
Generally the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
G = mean + 3 * o
G = 120 + 3 * 9
G = 93 to 147
please brainless
1.09 because all percents are divided by 100 to find the decimal
Answer:
Step-by-step explanation:
To solve this, we will have to use multiple methods, including the pythagorean theorem and the 30 60 90 rule.
In the 30 60 90 rule, it is stated that the angle opposing the side with 30 degrees is represented by 
, the angle opposing the side with 60 is 
and the angle opposing 90 degree angle is represented by 
. Looking at the whole triangle, we can see the 30, 60 and 90 degrees, and the angle with 90 has an opposing side of 15, which means we have to use 15=2s to find the other sides. When dividing 15 by 2, you get 7.5, which is s. Now we know that the angle opposing 30 is 15/2, which is x. Now that we have "s", we can also solve for z, represented by the 60 degrees. Multiply 7.5 and 
to get z=35113/2703.
Now we can solve for the smaller triangles. Since we have already found x, we can use the 30 60 90 method in this too. The x (15/2) is now represented by 2s. Therefore, solve for your new s by doing this: 15/2 = 2s. You should get your 30 degree angle answer (a) with this, which is 15/4. Now that we have to use pythagorean theorem, which is 
to solve for the remaining side (y) of the small triangle. You should get 35113/5406.
Finally we have the last side left: b. Since we have so many sides now, all we have to use is the pythagorean theorem again. Use 
and solve for b. You should get 45/4.
Answer:
probability that Caroline buy both CD and fruit = 0.52
Step-by-step explanation:
We have given that the probability of Caroline buys a fruit P = 0.4
So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6
Probability Caroline buys a CD P = 0.2
So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8
So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48
So probability that Caroline buy both CD and fruit =1-0.48 = 0.52
