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shtirl [24]
3 years ago
15

An investment advisor invested &14,000 in tow accounts. One investment earned 8% annual simple interest. And the other 6.5%

annual simple interest. The amount of interest earned for 1 year was $1,027 how much was invested
Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Answer:

Step-by-step explanation:

.08*x+.065(14000-x)=1027

.08x+910-.065x=1027

.015x=1027-910

.015x=117

x=117/.015

x=7800

7800 on 8% account

14000 - 7800=6200

6200 on 6.5% account

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Does 12/15 and 14/17 form a proportion?
adell [148]

Answer:

yes they form a proportion

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2 years ago
If x-y=10 and x+y=20 what is the answer for x^2-y^2?
Minchanka [31]
200 because 15 - 5 is 10 and 15+5 is 20. so 15 squared is 225 and 5 squared is 25 and 225-25 is 200
6 0
4 years ago
Find the value of the determinant using the method of expansion by minors; expand on the third row
valkas [14]

For the matrix

\begin{bmatrix}{a_{11}} & {a_{12}} & {a_{13}} \\ {a_{21}} & {a_{22}} & {a_{23}} \\ {a_{31}} & {a_{32}} & {a_{33}}\end{bmatrix}

the determinant using the method of expansion by minors, expanding on the third row is:

\det \begin{bmatrix}{a_{11}} & {a_{12}} & {a_{13}} \\ {a_{21}} & {a_{22}} & {a_{23}} \\ {a_{31}} & {a_{32}} & {a_{33}}\end{bmatrix}=a_{31}\det \begin{bmatrix}{a_{12}} & {a_{13}} & {} \\ {a_{22}} & {a_{23}} & {} \\ {} & {} & {}\end{bmatrix}-a_{32}\det \begin{bmatrix}{a_{11}} & {a_{13}} & {} \\ {a_{21}} & {a_{23}} & {} \\ {} & {} & {}\end{bmatrix}+a_{33}\det \begin{bmatrix}{a_{12}} & {a_{12}} & {} \\ {a_{22}} & {a_{22}} & {} \\ {} & {} & {}\end{bmatrix}

Answer:

First, we compute the determinants of the minors:

\begin{gathered} \det \begin{bmatrix}{0} & {4} & {} \\ {-1} & {3} & {} \\ {} & {} & {}\end{bmatrix}=0+4=4, \\ \det \begin{bmatrix}{1} & {4} & {} \\ {1} & {3} & {} \\ {} & {} & {}\end{bmatrix}=3-4=-1, \\ \det \begin{bmatrix}{1} & {0} & {} \\ {1} & {-1} & {} \\ {} & {} & {}\end{bmatrix}=-1-0=-1. \end{gathered}

Therefore:

\det \begin{bmatrix}{1} & {0} & {4} \\ {1} & {-1} & {3} \\ {0} & {5} & {-2}\end{bmatrix}=0\times4-5\times(-1)+(-2)\times(-1)=5+2=7.

3 0
1 year ago
Factor completely.<br><br> -5x 2 y + 10xy - 15xy 2
slavikrds [6]
I think it is -30xy.
4 0
4 years ago
Enrique leaves his house and starts to run at an average speed of 6 miles per hour. Half an hour later, Enrique’s younger (and f
Sloan [31]

Answer:

t= 0.8 hr  or 48 min.

Step-by-step explanation:

Speed of Enrique= 6 mph

Half and hour late it means that after 1/2 hr.

Speed of Enrique brother = 8 mph

  Lets take Enrique cover x distance in time t hr .

So

x = 6 t                           ------------ 1

Then his brother will cover x/2 distance in time (t-1/2) hr.

So

x/2 = 8 (t-1/2)                   -----------------2

Now from equation 1 and 2

6 t  = 16 (t-1/2)

6 t = 16 t - 8

So t= 0.8 hr  or 48 min.

It means that his brother will take 0.8 hr to cover half of distance cover by  Enrique .

6 0
3 years ago
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