$10000 in certificate of deposit
$30000 in mutual funds
Step-by-step explanation:
Step 1:
Total amount Stephanie has inherited = $40000
Let x be the amount she should put in certificate of deposit.
So 40000-x is the amount to be deposited in mutual funds
Step 2:
Total interest she wants to earn is 5.4% of $40000 = 5.4*40000/100 = 2160
Interest from certificate of deposit = 2.1% of x = 2.1 * x /100
Interest from mutual funds is 6.5% = 6.5(40000-x)/100
Sum of the interest from both these equals 2160
so 2.1 * x /100 + 6.5(40000-x)/100 = 2160
=> 0.021x/100 + 2600-0.065x = 2160
=> -0.044x = -440 => x= 10000
Step 3 :
Hence Stephaine should invest $10000 in certificate of deposit and (40000-10000) = $30000 in mutual funds
Answer:
Catalina skates a total of 120 feet
Step-by-step explanation:
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.
30 + 40 + 50 = 120 feet
Given
mean of 406 grams and a standard deviation of 27 grams.
Find
The heaviest 14% of fruits weigh more than how many grams?
Explanation
given
mean = 406 gms
standard deviation = 27 gms
using standard normal table ,
![\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z\times\sigma+\mu \\ x=1.08\times27+406 \\ x=435.16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28Z%3Ez%29%3D14%5C%25%20%5C%5C%201-P%28Zso%20%2C%20%5Btex%5D%5Cbegin%7Bgathered%7D%20x%3Dz%5Ctimes%5Csigma%2B%5Cmu%20%5C%5C%20x%3D1.08%5Ctimes27%2B406%20%5C%5C%20x%3D435.16%20%5Cend%7Bgathered%7D)
Final Answer
Therefore , The heaviest 14% of fruits weigh more than 435.16 gms
Answer: 90%
Step-by-step explanation:
you willhave to muitply by 2 becuse david only score half of lee's
Answer:
25
Step-by-step explanation:
Each of the 16 "ratio units" representing all 80 dancers must stand for ...
(80 dancers)/(16) = 5 dancers
Then 5 "ratio units" representing seventh-grade dancers will stand for ...
5 × 5 dancers = 25 dancers
___
Another way to figure this is to write the proportion ...
(seventh-grade dancers)/(all dancers) = 5/16
seventh-grade dancers = (all dancers)×(5/16) = 80×5/16
seventh-grade dancers = 25
