Things did not go quite as planned. You invested ​$21360​, part of it in a stock that paid​ 12% annual interest.​ However, the rest of the money suffered a​ 5% loss. If the total annual income from both investments was ​$​, how much was invested at each​ rate? How much money was invested at​ 12% annual​ interest?

Answer:

There are(2) terms in sequence1,3,9,27,81,243...6561

Step-by-step explanation:

1,3,9,27,81,243,729,2187,6561

There are 8 terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561.

To determine the number of terms in the given sequence, we can observe that each term is obtained by multiplying the previous term by 3. Starting with the first term, which is 1, we can continue this pattern to find subsequent terms.

1 * 3 = 3

3 * 3 = 9

9 * 3 = 27

27 * 3 = 81

81 * 3 = 243

243 * 3 = 729

729 * 3 = 2187

2187 * 3 = 6561

As we can see, the sequence follows a pattern of multiplying each term by 3. In total, we have gone through 8 terms to reach 6561.

To learn more about sequence click on,

https://brainly.com/question/29153938

#SPJ2

Answer:

a + 2 = a-2

step-by-step explanation

Answer:

the answer is C 6x2 .....................

Answer:

I am confused!

Answer:

you just solve by doing equation 1&2 i guess the answer will come

Step-by-step explanation:

Remember the formula a^2-b^2=(a-b)(a+b)

Answer:

132

Step-by-step explanation:

First you need to find the area of both regions (shaded and not shaded)

To find the shaded regions area multiply length by width

20 x 8 = 160

Then find the area of the unshaded region

7 x 4 = 28

Finally subtract the unshaded region from the shaded region

160 - 28 = 132

9514 1404 393

Explanation:

Apparently, you're to show this is an identity.

  [tex]\dfrac{\tan^2A}{\tan A-1}+\dfrac{\cot A}{1-\tan A}=1+\sec A\csc A\\\\\dfrac{\tan^2 A-\dfrac{1}{\tan A}}{\tan A-1}=\\\\\dfrac{\tan^3 A-1}{(\tan A)(\tan A-1)}=\\\\\\\dfrac{\tan^2 A+\tan A+1}{\tan A}=\\\\1+\dfrac{\sec^2 A}{\tan A}=\\\\1+\dfrac{1}{\cos A}\cdot\dfrac{1}{\sin A}=1+\sec A\csc A[/tex]

Answer:

-11 bytes4Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

8-x=6

there the answer is 2

Answer:

[tex] \frac{12}{5} = \frac{3}{x} \\ 12 \times x = 5 \times 3 \\ 12 x = 15 \\ x = \frac{15}{12} \\ = 1.25[/tex]

i hope it helped U

stay safe stay happy

Step-by-step explanation:

2x°+3x°=180°[ sum of adjacent angle]

or,5x°= 180°

or,x°= 180°/5

x°=36°

2x°= 2× 36°= 72°

3x°= 3 × 36°= 108°

Step-by-step explanation:

Hey there!

Please see attached picture for your answer.

Hope it helps!

Answer:

96 m

Step-by-step explanation:

Create a proportion where x is the height of the building:

[tex]\frac{2.8}{1.46}[/tex] = [tex]\frac{x}{50.25\\}[/tex]

Cross multiply and solve for x:

1.46x = 140.7

x = 96

So, the height of the building is approximately 96 m tall

Answer: 0

Step-by-step explanation:

7+(-24)/8+4(-2 )= 7-24/8+4(-2) = -17/8-8 = -17/0 = 0

Answer:

1 is in the ten thousands, also know as 10,000

Answer:

The correct answer is the third one. CIRCUMFERENCE

Answer:

7x-10y=6

Step-by-step explanation:

Firstly, supervise 7x-10y=3 using the coordinates of one from the known points

7*8-10*5=3

6=3 It is not correct, so the equation is uncorect

Find the correct equation

The common equation is y=mx+b

5=8m+b

-9=-12m+b

Both equations are simultaneous.

-9-5= -12m+b- (8m+b)

-14=-20m

m=0.7

b=5-5.6=-0.6

y=0.7x-0.6

0.7x-y=0.6

7x-10y=6- the correct answer

Step-by-step explanation:

9/10

=0.9

90%

=90/100

=0.9

Hence, 9/10 = 90 %

Answer:

hlo

Step-by-step explanation:

which Id I s ths and if u needs we can play t or d join eew-vtej-rxt

Answer:

thanks for the point back

Step-by-step explanation:

thanks

Answer:

It is (-0.5, 0)

Step-by-step explanation:

Mid-point formular:

[tex]{ \bf{midpoint = (\frac{x_{1} + x _{2} }{2} , \: \frac{y_{1} + y_{2} }{2}) }}[/tex]

x1 is -4

x2 is 3

y1 is -3

y2 is 3

[tex]{ \sf{ = ( \frac{ - 4 + 3}{2} , \: \frac{ - 3 + 3}{2}) }} \\ \\ { \sf{ = ( - \frac{1}{2} , \: \frac{0}{2}) }} \\ \\ = { \sf{( - 0.5, \: 0)}}[/tex]

Answer:

B____C____D_____E

BC+ CE = BD + DE

(3x+47) + (x+26) = ( x+27) + (10)

4x + 73 = x + 37

4x – x = 37 – 73

3x = ‐ 36

x = – 36/ 3 —> x = – 12

BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11

BD = x+ 27 = –12+27 = 15

CE = x + 26 = –12+26= 14

I hope I helped you^_^

Answer:

[tex] \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you[/tex]

Answer:

x=2/3

Step-by-step explanation:

The mean is just the average of all the terms. Therefore, you can set up an algebraic expression to solve for x.

[tex]\frac{2+8+9+7+6x}{5} =6[/tex]

[tex]2+8+9+7+6x=30\\26x+6x=30\\6x=4\\x=4/6=2/3\\x=2/3[/tex]

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

Answer:

-18 is the right answer..

Answer:

9

Step-by-step explanation:

60 is 15=9

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.