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2 years ago

What is the missing numerator? (4 points)

Mathematics

1 answer:

kozerog [31]2 years ago

7 0

Answer:

$\frac{x}{7}$ - $\frac{3}{8}$ = $\frac{27\\}{56}$

Step-by-step explanation:

6 x 8 = 32

7 x 3 = 21

32 - 21 = 27

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Write an equation for a line that is parallel to the graph of y = -3x + 6 and passes through the point at (-4,7)

IgorC [24]

Answer
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8 0

3 years ago

PlEaSe HeLp. I wIlL gIvE 10 pOiNtS.

s344n2d4d5 [400]

-8 I think because it has a pattern

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3 years ago

Consider a population p of field mice that grows at a rate proportional to the current population, so that dp dt = rp. (note: re

krok68 [10]

This is the concept of differential equations, given that
dp/dt=rp
then:
dp/p=rdt
thus:
ln p=rt+C
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5 0

3 years ago

What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is

Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: $A = P(1 + \frac rn)^{nt}$ </h3>

A = Account Balance
P = Principle/Initial Amount
r = Rate of Interest (decimal)
n = Number of times compounded (per year)
t = Number of Years

<h3>Given Information</h3>

Account Balance = ?
Principle Amount = $1000
Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

$A = P(1 + \frac rn)^{nt}$
$A = 1000(1 + \frac {0.02}{6})^{6*15}$
$A = 1000(1 + 0.00333...)^{90}$
$A = 1000(1.00333...)^{90}$
$A = 1000(1.145743)$
$A \approx 1457.43$

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0

2 years ago

A. Name the smallest angle and the largest angle of the following triangles: F 6 S 5 1. A J 5.03 7 5 G B H 5.1 2. D 4 3 E

I am Lyosha [343]

Answer:

(smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

smallest angle: B
largest angle: C

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

smallest angle: D
largest angle: E

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

smallest angle: G
largest angle: J

_____

<em>Additional comment</em>

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there <em>cannot be two angles in a triangle such that the smaller angle has the larger sine</em>.

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2 years ago