Answer:
$3007.26
Step-by-step explanation:
Step one:
given data
Principal= $2000
rate= 6%= 0.06
time= 7years
Required:
The final amount A
Step two:
the expression for the compound interest is
substituting we have
Answer:
Step-by-step explanation:
tan61=FD/24
FD=24tan61
tan19=DE/FD
DE=FDtan19, since FD=24tan61
DE=(24tan61)(tan19) (exact)
DE=14.9 units (rounded to nearst tenth)
Though they might round to 15 units...
Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
Answer:
Step-by-step explanation:
from the graph of f(x)
when x=1,f(x)=0
or f(1)=0
when f(x)=2,x=2
for g(x)
when x=6,g(x)=16
or g(6)=16
when g(x)=18,x=32
for h(x)
when x=14
h(x)=27x-7
h(14)=27×14-7=7(27×2-1)=7(54-1)=7×53=371
h(x)=-493
27x-7=-493
27 x=-493+7=-486
3 x=-54
x=-18
for p(t)
when t=94
p(t)=24
p(94)=24
p(t)=67
t=31
Answer:
Step-by-step explanation:
Given
per hour
Required
Derive an expression for the scenario
A tandem bike allows 2 individuals to ride on it at a time.
So, they will only pay for one rental fee because both can ride on it at the same time.
However, they need to get separate helmets.
For Helmets, they will spend:
For Rental, they will spend
for h hours.
Recall that they have just $80 to spend
So, substitute 80 for total
Hence, option C answers the question.
