Answer:
Option b. 12 teaspoons.
Step-by-step explanation:
In the question it given :
1 cup = 16 tablespoons
1 tablespoon = 3 teaspoons
16 tablespoon = 48 teaspoons or 1 cup
A recipe calls for 1/4 cup of broth. Tabitha has only a teaspoon to measure broth.
1 cup broth = 48 teaspoons
1/4 cup broth = 48 × 
= 12 teaspoons
Tabitha should use 12 teaspoons of broth.
Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
Answer:
6f = 24
f = 4
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
Square root of 1300= 36
(37)²>1300>(36)²
Therefore , the requirement no. to be added to get a perfect square
=(37)²=1369
= 1369- 1300=69
The least no. Of sapling he needs for this = 69
Answer:
<h3>Option 4: y = 3 – 2a</h3>
Step-by-step explanation:
Given the simultaneous equation;
ax + by = ab ......... 1
2ax + 3by = 3b .....2
Required
Express y in terms of a
Using elimination method to eliminate x variable.
eqn 1 * 2 and eqn 2 *1 will give;
2ax + 2by = 2ab
2ax + 3by = 3b
Subtract
2by - 3by = 2ab - 3b
-by = 2ab - 3b
-by = b(2a-3)
-y = 2a-3
multiply through by -1
y = -2a + 3
y = 3-2a
Hence the value of y in terms of a is y = 3-2a
