Answer:
The numerical length of BD is 20 units
Step-by-step explanation:
Let us solve the question
∵ Point C lies on the line segment BD
→ That means C divides BD into 2 parts
∴ C divides BD into 2 parts BC and CD
∴ BD = BC + CD
∵ BD = 5x
∵ BC = 4x
∵ CD = 4
→ Substitute them in the equation above
∴ 5x = 4x + 4
→ Subtract 4x from both sides
∵ 5x - 4x = 4x - 4x + 4
∴ x = 4
→ Substitute the value of x in the expression of BD
∵ BD = 5x
∵ x = 4
∴ BD = 5(4) = 20
∴ The numerical length of BD is 20 units
Answer:
a) The variable, M represents the amount of fish Ms. Montesinos has
b) The set equation is 11 + 2 = 3 × M - 2
c) 5
Step-by-step explanation:
The given parameters are;
The number of fishes in Ms. Cruz's tank = 11 fishes
The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes
a) Let the variable, M represent the amount of fish Ms. Montesinos has
b) The set up equation is as follows;
11 + 2 = 3 × M - 2
c) From the equation, 11 + 2 = 3 × M - 2, we have;
13 = 3·M - 2
3·M = 13 + 2 = 15
3·M = 15
M = 15/3 = 5
M = 5
The number of fishes Ms. Montesinos has is 17 fishes
Answer:
$6000
Step-by-step explanation:
accumulated amount = A = PI
A = $6900
Let P = x
6900 - I = x
I = (x)(0.05)(3yrs) = 0.15x
6900 - 0.15x = x
Add
6900 = 1.15x
Divide, solve for x
x = 6000
The answer is the square root of 4.
2 * 2 = 4
2 is a rational number; therefore, the square root of 4 is a rational number.
You deposit some money into a bank account paying 8% simple interest per year. You received $500 in interest after 2 years. How much the deposit (principal) was?
Result
The principal was $3125.
Explanation
Find principal by using the formula I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $500, i = 8% and t = 2 years, so
IPPP=P⋅i⋅t=Ii⋅t=5000.08⋅2=3125
