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Ilia_Sergeevich [38]
2 years ago
9

The table represents the balance of Fernando’s loan, y, over a period several months, x. He used technology to create the scatte

r plot shown and determine the best fit equation to model the data: y = -440.91x + 22,060.70. Determine how long it will take to reach the given balances.
Mathematics
1 answer:
vlada-n [284]2 years ago
7 0

Answer:

The balance of the loan will be approximately $15,000. - Month 16

The balance of the loan will reach $0. -  Month 50

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What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?
tangare [24]

Answer:

{6,7,8,9,10}

Step-by-step explanation:

Solve the inequality using inverse operations.

3r\leq 4r-6\\3r-4r\leq -6\\-r\leq -6\\r\geq 6

This solution means values equal to or larger than 6 from the set are solutions. This means 6, 7, 8, 9, and 10 are the solution set.

8 0
3 years ago
F(1)=_________________________
olga nikolaevna [1]

Answer:

f(1) = 1

Step-by-step explanation:

The value of f(1) simply means what is the corresponding output we would get for an input of 1.

This also implies that for what of y is x equal to 1?

From the graph, when x = 1, y = 1.

Thus:

f(1) = 1

7 0
3 years ago
A rectangular prism has a volume of 1376 cubic inches. The prism is 10 inches wide and 18 inches long. What is the height of the
Vladimir79 [104]

\huge\boxed{ \mathcal{\longmapsto Answer࿐}}

we know,

\boxed{volume = l \times w \times h}

\longmapsto1376 = 18 \times 10 \times h

\longmapsto h =  \dfrac{1376}{180}

\longmapsto h = 7.64 \:   \: inches

3 0
2 years ago
If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and
Scilla [17]
Take the cross product, then normalize the result.

\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k

This has norm

\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2

and so a unit vector orthogonal to both given vectors is

\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k

An equally correct answer would be the negative of this vector, since \mathbf b\times\mathbf a=-\mathbf a\times\mathbf b.
5 0
3 years ago
Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


6 0
3 years ago
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