1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artist 52 [7]
2 years ago
11

in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota

l annual earned was R2 920 .How much was invested in each accounts?​
Mathematics
1 answer:
Akimi4 [234]2 years ago
5 0

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

You might be interested in
6,435,920,178 in expanded form
VMariaS [17]
6,435,920,178\\=6,000,000,000+400,000,000+30,000,000+5,000,000\\+900,000+20,000+100+70+8
4 0
3 years ago
Read 2 more answers
The Kansas City Chiefs are trying to figure out if there is a relationship between the number of passes thrown by Quarterback Pa
stich3 [128]

The linear regression equation that represents this data is given as follows: y = 22x - 518.

Using this equation, when 38 passes are thrown, the expected yardage is of 318 yards.

<h3>How to find the equation of linear regression?</h3>

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

In the context of this problem, the input and output are given as follows:

  • Input: number of passes thrown by Patrick Mahomes.
  • Output: number of passing yards obtaining by Mahomes/KC.

The points to be inserted in the calculator are given as follows:

(39, 360), (35, 235), (35, 262), (37, 249), (40, 338).

Hence the equation is given by:

y = 22x - 518.

With 38 passes, the expected yardage is calculated as follows:

y = 22(38) - 518 = 318 yards.

More can be learned about linear regression at brainly.com/question/22992800

#SPJ1

8 0
1 year ago
Choose two positive integers a and b, making sure that a&lt;5 and b&gt;80 . The width of a rectangular computer screen is a inch
qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

Height = H

Width = H + a

Area = Height x Width

b = H * (H + a)

b = H^{2} + aH

H^{2} + aH > 80

H^{2} + aH - 80 > 0

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

a = 1, H = 8.46, H = -9.46

a = 2, H = 8, H = -10

a = 3, H = 7.57, H = -10.57

a = 4, H = 7.17, H = -11.17

Based on above possible answers:

a=2, H=8

W = H + a

W = 8 + 2

W = 10

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

5 0
3 years ago
GUYS HELP! IS THIS CORRECT???<br> ILL MARK YOU BRAINIEST!
SashulF [63]

Answer:12

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

8 0
3 years ago
Read 2 more answers
Greg spends $0.45 on an eraser and $0.30 on a pen. How much money does Greg spend in all?
natali 33 [55]
So, we need to add.

45 + 30 = 85.

$0.85 is your answer.

Glad I could help, and good luck!
__________________________
__________________________
__________________________

5 0
3 years ago
Read 2 more answers
Other questions:
  • Osvaldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains today he ate 220 grams of ca
    14·2 answers
  • Rewrite the following equation in slope- intercept form: 4x-2y=6
    12·1 answer
  • Thx for helping if u do
    9·1 answer
  • 2(3y − 1)(y − 3) is the factored form of
    10·2 answers
  • Compare the value of the 8 in 4,428.37 and 92.85
    7·2 answers
  • Please help me w/H.W please show the work​
    6·2 answers
  • A cone has a height of 18 yards and a diameter of 28 yards. What is its volume?
    6·1 answer
  • Answer soon! I’ll grant you brainliest! Line L Is perpendicular to line M. Find the Value of X. Picture down below.
    6·1 answer
  • Mariana jarred 42 liters of jam after 6 days. How much jam did Mariana jar if she spent 7
    8·2 answers
  • Graph the image of triangle PQR after a reflection across the line y = 2​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!