Answer: 24.5%
Step-by-step explanation:
Last year her stock in company A was worth $4600. If her Stock in company A has decreased by 25% since last year in stock, then the amount by which it decreased is
25/100 × 4600 = $1150
The present worth is
4600 - 1150 = $3450
Also, her stock in company B was worth $1000. If her Stock in company B has decreased by 22% since last year in stock, then the amount by which it decreased is
22/100 × 1000 = $220
The present worth is
1000 - 220 = $780
The total worth of both stocks last year was
4600 + 1000 = $5600
The total worth of both stocks this year was
3450 + 780 = $4230
The amount by which it decreased is
5600 - 4230 = 1370
the total percentage decrease in the investor stock account is
1370/5600 × 100 = 24.5%
Answer:
The central angle measure of the sector in radians is
.
Step-by-step explanation:
A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.
The area of a sector when the central angle is in radians is given by

where
r = radius
θ = central angle in radians
We know that the area of the sector is
and the radius is 6 cm. Applying the above formula and solving for the central angle (
) we get that

Mass = density x volume
Mass = 178 x 25 = 4,450 grams
Answer:
x = 10
Step-by-step explanation:
Divide both sides by 2.
(2x) / 2 = 20 / 2
x = 10
<h2>
Answer:</h2>
The number of possible arrangements is : 120
<h2>
Step-by-step explanation:</h2>
We know that in order to find the different arrangements which are possible we need to use the method of permutation.
The arrangement of a given word is calculated as the ratio of the factorial of number of letters to the product of factorial of numbers the number of times each letter is repeating.
The word is given to be:
ALASKA
There are a total of 6 letters in the given word
Out of which a letter "A" is repeating 3 times.
Hence, the number of arrangements possible are:
