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3 years ago

The distance a jet travels (s) varies directly with the number of hours (1) flown. A jet

Mathematics

1 answer:

DaniilM [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Soucre: trust me bro

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

4 0

3 years ago

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Can someone help me please??

worty [1.4K]

Answer:

<em>The little brother should place the mirror at 36 ft from the base of the tree to properly see its top</em>

Step-by-step explanation:

<u>Similar Triangles </u>

Two triangles are defined as similar if their corresponding angles are congruent and the corresponding sides are in proportion. The triangle formed by the kid and the ground and the triangle formed by the tree and the ground are similar since the angle of reflection over the mirror is the same, i.e. the light travels in a straight line. This means that we can set this proportion

$\displaystyle \frac{x}{72}=\frac{2}{4}$

Solving for x

$\displaystyle x=\frac{2\times 72}{4}$

$\boxed{x=36\ ft}$

The little brother should place the mirror at 36 ft from the base of the tree to properly see its top

4 0

4 years ago

Why is it important for a company to create an income statement?

Bess [88]

An income statement is important because it offers a recent picture of the company's revenues and expenses and overall profitability. Managers and investors can use this information to make financial decisions.

3 0

3 years ago

What’s the percent of change from 100 to 17

Gemiola [76]

Answer:

-83%

Step-by-step explanation:

The percentage change can be found using the formula ...

percentage change = ((new value)/(old value) -1) × 100%

= (17/100 -1) × 100%

= -83/100 × 100%

= -83% . . . . . % change from 100 to 17

8 0

3 years ago

Under a dilation centered at the origin, the image is congruent to the preimage. What is the scale factor?

Alexxx [7]

The scale factor is -1 or 1.

6 0

3 years ago

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