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3 years ago

Annie opened a savings account and deposited $10

Mathematics

2 answers:

vova2212 [387]3 years ago

8 0

Deposit means to add so +$10

SVETLANKA909090 [29]3 years ago

4 0

+10 because deposited means put in.

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Find the measure of <6

eduard

Answer:

110 degrees

Step-by-step explanation:

Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6

4 0

3 years ago

Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

$A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}$

$B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$

$C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}$

AX + B = C

AX = C - B

C - B = $\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$ = $\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}$

C - B = $\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Let $X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

AX = $\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}$

= $\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}$

Since AX = C - B

$\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = $\begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix}$ will be the answer.

7 0

3 years ago

nancy started the year with $425 in the bank and is saving $25 a week. Seamus started the year with $875 and is spending $15 a w

Goryan [66]

They will have same amount in 45 weeks.

Step-by-step explanation:

Given,

Starting amount of Nancy = $425

Per week saving = $25

Let,

x represent the number of weeks.

N(x) = 25x+425

Starting amount of Seamus = $875

Per week saving = $15

S(x) = 15x+875

For same amount;

N(x) = S(x)

$25x+425=15x=875\\25x-15x=875-425\\10x=450$

Dividing both sides by 10

$\frac{10x}{10}=\frac{450}{10}\\x=45$

They will have same amount in 45 weeks.

Keywords: function, division

Learn more about functions at:

#LearnwithBrainly

3 0

3 years ago

Find the value of − √49

melomori [17]

The answer is -7 hope this helps!

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3 years ago

Two rectangles have the exact same area. The measurements of the first rectangle are: length = 3k and width = 3 And the measurem

lions [1.4K]

Answer:

Step-by-step explanation:

because

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3 years ago