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3 years ago

Circle D is shown with the measure of the minor arcs which segment are congruent

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

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The post office is 0.15 mile from Abdul’s house. His school is 3/8 mile from the post office. If Abdul stops at the post office

Aleksandr [31]

Answer:

Total distance Abdul walked = 0.525 miles

Step-by-step explanation:

The post office is 0.15 mile from Abdul’s house.

Distance to post office from Abdul's House = 0.15 mile.

His school is 3/8 mile from the post office.

Distance to school from post office = 3/8 mile = 0.375 mile

Total distance from Abdul's house to school = 0.15 + 0.375 = 0.525 miles

Total distance Abdul walked = 0.525 miles

3 0

2 years ago

Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer

Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so $P = 9000$

Interest rate of 8%, so $r = 0.08$

Compounded quarterly, so $n = 4$

5 years and 6 months, that is, 5 years and half, so $t = 5.5$

(a) How much would the value of her savings at the end of the term?

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82$

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0

2 years ago

Part A: Solve −np − 80 < 60 for n. Show your work. (4 points)

morpeh [17]

Solution:

1) Add 80 to both sides
-np<60+80

2) Simplify 60+80 to 140
-np<140

3) Divide both sides by p
-n<\frac{140}{p}

4) Multiply both sides by -1
n>-\frac{140}{p}

Done!

7 0

2 years ago

consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations

emmasim [6.3K]

Answer:

$x=1$ and $x=4$

Step-by-step explanation:

We have the following system of equations:

$y=\sqrt{x}$ and $y=x-2$

To solve the problem, we need to equal the two equations:

$x-2=\sqrt{x}$ ⇒ $(x-2)^{2} =x$ ⇒ $x^{2} -4x + 4 = x$

⇒ $x^{2} -5x + 4 = 0$

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are $x=-1$ and $x=-4$ .

Then, the factorized form of the polynomial is: $(x-1)(x-4)$ .

The, the solution to the system of equations is: $x=1$ and $x=4$ .

5 0

3 years ago

What is the range in interval notation of the function graphed below?

attashe74 [19]

Answer:

Range tells you how high and low the graph of this parabola goes in the “y” (vertical) directions.

1. We can see that the parabola peaks on the y-axis at y = 4. That’s as HIGH as it goes.

2. We also see that both sides of the parabola descend to the level of y = -7. That’s as LOW as it is shown to go.

So putting these together, we say the Range is given by:

-7 <= y <= 3

AMBIGUITY WARNING:

Because the two branches of the parabola go fall right down to the edge of the picture boundary, it’s UNCLEAR whether the parabola truly stops at y = -7 or CONTINUES on (to negative infinity).

In THAT case, the RANGE simplifies to:

Y <= 4

Done.

Step-by-step explanation:

5 0

1 year ago