Answer:
$104850
Step-by-step explanation:
Given data
Principal= $45,000
Time = 13 years
Rate= 6.75%
the compound interest expression is
A= P(1+r)^t
A=45000(1+0.0675)^13
A= 45000(1.0675)^13
A= 45000*2.33
A= $104850
Hence the final amount will be $104850
It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Case 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes :
Case 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes:
Answer :
The two equations are :
For pasta:
For sauce:
This is 60 because if you were to 12 times 1 you would get 12 then multiply by 5 and you get 60. Now to check your answer do 12 divided by 12 which gives you 1 and do 60 divided by 12 gives u 5. Therefore the answer is 60cm hope this helps!
Yes, when you translate a figure the figure is always congruent to the original figure.
Translation is a type of rigid transformation and after rigid transformation the image is always congruent to the pre-image.
Hope this helps :)
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−
3
x
2
+
7
x
=
−
5
Step 1: Subtract -5 from both sides.
−
3
x
2
+
7
x
−
(
−
5
)
=
−
5
−
(
−
5
)
−
3
x
2
+
7
x
+
5
=
0
For this equation: a=-3, b=7, c=5
−
3
x
2
+
7
x
+
5
=
0
Step 2: Use quadratic formula with a=-3, b=7, c=5.
x
=
−
b
±
b
2
−
4
a
c
2
a
x
=
−
(
7
)
±
(
7
)
2
−
4
(
−
3
)
(
5
)
2
(
−
3
)
x
=
−
7
±
109
−
6
x
=
7
6
+
−
1
6
109
or
x
=
7
6
+
1
6
109
