If you would like to solve 80% of 40, you can do this using the following steps:

80% of 40 = 80% * 40 = 80/100 * 40 = 32

The correct result would be 32.

7 0

3 years ago

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ABCD is a rectangle. The length of BD is 8 units, and m angle ABD is 67°. The length of AC is units, and m angle CDB is °.

Marina86 [1]

See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units

the answer part a) is
BD= 8 units

Part b) Find angle CBD

we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°

the answer Part b) is
∠CBD=23 degrees

5 0

3 years ago

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Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th

koban [17]

Answer:

a. Present value of a lump sum =

PV = FV / ( 1 + i )ⁿ

b. Present value of an annuity =

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)

Step-by-step explanation:

a. Present Value of a Lump sum =

PV = FV / ( 1 + i )ⁿ

Where variables in the formula are explained as follows

PV = Present Value of the given amount today

FV = Future Value of the given amount

i = Discount rate

n = Number of periods

b. Present value of an annuity is given as:

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)

The variables in the equation are explained as the follows:

P = the present value of annuity

PMT = Payment per period or the amount in each annuity payment

r = the interest or discount rate

n = total number of periods or the number of payments left to receive

8 0

3 years ago

a guy walks into a store and steals a $100 bill from the register without the owners knowldge. He then buys $70 worth of goods u

Elanso [62]

He lost $30 bc
Guy stole $100
Guy gave back $70
Owner gives hue $30 !
If that makes any sense ‍♀️

8 0

3 years ago