Using compound interest, it is found that he must deposit $56,389.
Compound interest:
- 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.
- t is the time in years for which the money is invested or borrowed.
In this problem:
- Hopes to have $80,000 in 20 years, thus .
- Interest rate of 1.75%, thus .
- Compounding monthly, thus
- The investment is of P, for which we have to solve.
Then:
He must deposit $56,389.
A similar problem is given at brainly.com/question/25263233
The value of 7 in 26..74 is 0.7
The value of 7 in 37.596 is 7.
1/10 the value of 7 in 26.74 is 0.07 and 0.07 ≠ 7.
So, statement a) is incorrect.
1/100 the value of 7 in 26.74 is 0.007 and 0.007 ≠ 7.
So, statement c) is incorrect.
100 times the value of 7 in 26.74 is 70 and 70 ≠ 7.
So, statement d) is incorrect.
10 times the value of 7 in 26.74 is 7 and 7 = 7.
So, statement b) is correct and it correctly compares two values.
2 • (6x2 - 3x - 2)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((22•3x2) - 6x) - 4
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12x2 - 6x - 4 = 2 • (6x2 - 3x - 2)
Trying to factor by splitting the middle term
3.2 Factoring 6x2 - 3x - 2
The first term is, 6x2 its coefficient is 6 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 6 • -2 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -3 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1
-3 + 4 = 1
-2 + 6 = 4
-1 + 12 = 11
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (6x2 - 3x - 2)
Hope this helped!
-Rin
the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
We find the slope of parallel line using two given points
(5, -8) and (2, 4)
Slope formula is
so slope = -4
Slope of any two parallel lines are always equal
Lets find the slope of the equation 13y + kx = 4
Subtract kx on both sides
13 y = -kx + 4
Divide both sides by 13
Now slope = -k/13
We know slope of parallel lines are same
So the slope of 13y + kx = 4 is also -4
Hence we equation the slope and find out k
Multiply by 13 on both sides and divide by -1
k = 52
the value of k = 52