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Oduvanchick [21]
1 year ago
11

Question Simplify: (-12az2-22³)+(-2a³ +7a²z)-(-4a²z+8az²).

Mathematics
1 answer:
Lorico [155]1 year ago
3 0

Step-by-step explanation:

if I take the expression as you wrote it literally, we have

(-12az2 - 22³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =

= -24az - 10,648 - 2a³ + 7a²z + 4a²z - 8az² =

= -24az - 10,648 - 2a³ + 11a²z - 8az²

yet when I assume that there were several typos particularly in the first bracket, my guess about the real original expression is

(-12az² - 2a³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =

= -12az² - 2a³ - 2a³ + 7a²z + 4a²z - 8az² =

= -20az² - 4a³ + 11a²z

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3 years ago
If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin
Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?  

Solution :

Applying interest formula,

A=P(1+r)^t

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

3783193=P(1+0.11)^8

3783193=P(1.11)^8

3783193=P\times 2.30

P=\frac{3783193}{2.30}

P=1641627.68

Therefore, The original amount deposit is $1641627.68.

3 0
3 years ago
what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until
VladimirAG [237]

Answer:

C

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = \sqrt{256} = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C



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