Answer:
10 years old
Step-by-step explanation:
The difference in ages is 60 -30 = 30 years. When mom was 4 times daughter's age, the difference in their ages was 3 times the daughter's age.
The age difference was 30 years at that time, so the daughter was 10 years old.
Answer:
they both will have a product containing the number three and they are different because .3 times .01 will have a lesser amount for a product
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 In general, given
a
x
2
+
b
x
+
c
ax
2
+bx+c, the factored form is:
a
(
x
−
−
b
+
b
2
−
4
a
c
2
a
)
(
x
−
−
b
−
b
2
−
4
a
c
2
a
)
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case,
a
=
3
a=3,
b
=
−
54
b=−54 and
c
=
343
c=343.
3
(
y
−
54
+
(
−
54
)
2
−
4
×
3
×
343
2
×
3
)
(
y
−
54
−
(
−
54
)
2
−
4
×
3
×
343
2
×
3
)
3(y−
2×3
54+
(−54)
2
−4×3×343
)(y−
2×3
54−
(−54)
2
−4×3×343
)
3 Simplify.
3
(
y
−
54
+
20
3
ı
6
)
(
y
−
54
−
20
3
ı
6
)
3(y−
6
54+20
3
)(y−
6
54−20
3
)
4 Factor out the common term
2
2.
3
(
y
−
2
(
27
+
10
3
ı
)
6
)
(
y
−
54
−
20
3
ı
6
)
3(y−
6
2(27+10
3
)
)(y−
6
54−20
3
)
5 Simplify
2
(
27
+
10
3
ı
)
6
6
2(27+10
3
)
to
27
+
10
3
ı
3
3
27+10
3
.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
54
−
20
3
ı
6
)
3(y−
3
27+10
3
)(y−
6
54−20
3
)
6 Factor out the common term
2
2.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
2
(
27
−
10
3
ı
)
6
)
3(y−
3
27+10
3
)(y−
6
2(27−10
3
)
)
7 Simplify
2
(
27
−
10
3
ı
)
6
6
2(27−10
3
)
to
27
−
10
3
ı
3
3
27−10
3
.
3
(
y
−
27
+
10
3
ı
3
)
(
y
−
27
−
10
3
ı
3
)
3(y−
3
27+10
3
)(y−
3
27−10
3
I hope this help you
Answer:
<em>The total price David paid for the computer is $933.12</em>
<em />
Step-by-step explanation:
The cost of the computer will be $1,080 with 20% off and 8% sales tax.
20% of 1080 is 1080(0.20)=216 this means 216 is 20% of 1080, so with the discount the price will be 1080-216=$864
Now we have to find 8% of 864.
864(0.08)=$69.12
So the total price will be 864+69.12= $933.12
