Answer: $7800 was invested at 9%
$5900 was invested at 3%
Step-by-step explanation:
Let x represent the amount invested in the fund that paid a dividend of 9%.
Let y represent the amount invested in the fund that paid a dividend of 3%.
Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that
0.09x + 0.03y = 879- - - - - - - - - 1
This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that
0.1x + 0.01y = 839 - - - - - - - - - -2
Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes
0.009x + 0.003y = 87.9
0.009x + 0.0009y = 75.51
Subtracting, it becomes
0.0021y = 12.39
y = 12.39/0.0021
y = 5900
Substituting y = 5900 into equation 1, it becomes
0.09x + 0.03 × 5900 = 879
0.09x + 177 = 879
0.09x = 879 - 177
0.09x = 702
x = 702/0.09
x = 7800
Answer:
144 cm^2
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, we know the area of a square is L*W
L=12
W=12
12*12=144 cm^2
(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥
˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜
Answer:
77%
Step-by-step explanation:
divide 17 by 22
x³ + y³ + z³ - 3xyz is a multiple of x+y+z.
<h3>What is a multiple?</h3>
It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.
Put x + y + z = 0
= x³ + y³ + z³ - 3xyx
= 0(x² + y² + z² - xt - yz - zx)
= x³ + y³ + z³ - 3xyz = 0.
x³ + y³ + z³ = 3xyz
Learn more about multiples on:
brainly.com/question/251701
#SPJ1
Answer:
MNK = TRP
MN is congruent to TR.
X = 6.3
Step-by-step explanation:
MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.
