Answer:
You can use the Side-Angle-Side Postulate.
Step-by-step explanation:
The Side-Angle-Side (or SAS) Postulate basically states that if two sides of two triangles and the included angle are congruent, the two triangles are congruent.
Answer:
The amount that would be in the account after 30 years is $368,353
Step-by-step explanation:
Here, we want to calculate the amount that will be present in the account after 30 years if the interest is compounded yearly
We proceed to use the formula below;
A = [P(1 + r)^t-1]/r
From the question;
P is the amount deposited yearly which is $4,500
r is the interest rate = 2.5% = 2.5/100 = 0.025
t is the number of years which is 30
Substituting these values into the equation, we have;
A = [4500(1 + 0.025)^30-1]/0.025
A = [4500(1.025)^29]/0.025
A = 368,353.3309607034
To the nearest whole dollars, this is;
$368,353
He used 7 pints all together because there at 2 cups in each pint and 4 pints in a half a gallon.
Answer:
y = 9,958(0.972)^t
Step-by-step explanation:
From point to point, the difference in days is always constant (10 days), but the difference between estimated number of bees is not constant.
10000 - 7500 = 2500
7500 - 5600 = 1900
5600 - 4200 = 1600
4200 - 3200 = 1000
3200 - 2400 = 800
Therefore, the data don't fit a line.
From the other two options:
y = 9,958(0.972)^t
y = 0.972(9,958)^t
only the first one has sense, because its initial amount of bees is 9,958 (near to 10,000) and in the second option is 0.972.
D. 3 and 19 is the correct answer because 3×19=57